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Finding the Fourth Proportional to 10,162.61, 14,024.40 and 5,687.23

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Solution

The fourth proportional to 10,162.61, 14,024.40 and 5,687.23 is: 7,848.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,162.61 : 14,024.40 = 5,687.23 : x
  2. Step 2: Convert to fraction form
    10,162.61/14,024.40 = 5,687.23/x
  3. Step 3: Cross multiply
    10,162.61x = 14,024.40 × 5,687.23
  4. Step 4: Simplify right side
    10,162.61x = 79,759,953.35
  5. Step 5: Solve for x
    x = 79,759,953.35/10,162.61
  6. Step 6: Final answer
    x = 7,848.37

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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.