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Finding the Fourth Proportional to 10,239.57, 14,132.54 and 6,412.99

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Solution

The fourth proportional to 10,239.57, 14,132.54 and 6,412.99 is: 8,851.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,239.57 : 14,132.54 = 6,412.99 : x
  2. Step 2: Convert to fraction form
    10,239.57/14,132.54 = 6,412.99/x
  3. Step 3: Cross multiply
    10,239.57x = 14,132.54 × 6,412.99
  4. Step 4: Simplify right side
    10,239.57x = 90,631,837.69
  5. Step 5: Solve for x
    x = 90,631,837.69/10,239.57
  6. Step 6: Final answer
    x = 8,851.14

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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.