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Finding the Fourth Proportional to 10,224.70, 14,111.58 and 5,748.82

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Solution

The fourth proportional to 10,224.70, 14,111.58 and 5,748.82 is: 7,934.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224.70 : 14,111.58 = 5,748.82 : x
  2. Step 2: Convert to fraction form
    10,224.70/14,111.58 = 5,748.82/x
  3. Step 3: Cross multiply
    10,224.70x = 14,111.58 × 5,748.82
  4. Step 4: Simplify right side
    10,224.70x = 81,124,933.34
  5. Step 5: Solve for x
    x = 81,124,933.34/10,224.70
  6. Step 6: Final answer
    x = 7,934.21

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