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Finding the Fourth Proportional to 11,386.68, 15,712.99 and 6,351.31

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Solution

The fourth proportional to 11,386.68, 15,712.99 and 6,351.31 is: 8,764.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,386.68 : 15,712.99 = 6,351.31 : x
  2. Step 2: Convert to fraction form
    11,386.68/15,712.99 = 6,351.31/x
  3. Step 3: Cross multiply
    11,386.68x = 15,712.99 × 6,351.31
  4. Step 4: Simplify right side
    11,386.68x = 99,798,070.52
  5. Step 5: Solve for x
    x = 99,798,070.52/11,386.68
  6. Step 6: Final answer
    x = 8,764.46

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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.