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Finding the Fourth Proportional to 10,537.38, 14,560.83 and 10,024.83

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Solution

The fourth proportional to 10,537.38, 14,560.83 and 10,024.83 is: 13,852.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.38 : 14,560.83 = 10,024.83 : x
  2. Step 2: Convert to fraction form
    10,537.38/14,560.83 = 10,024.83/x
  3. Step 3: Cross multiply
    10,537.38x = 14,560.83 × 10,024.83
  4. Step 4: Simplify right side
    10,537.38x = 145,969,845.41
  5. Step 5: Solve for x
    x = 145,969,845.41/10,537.38
  6. Step 6: Final answer
    x = 13,852.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.