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Finding the Fourth Proportional to 11,398.13, 15,732.04 and 6,683.93

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Solution

The fourth proportional to 11,398.13, 15,732.04 and 6,683.93 is: 9,225.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,398.13 : 15,732.04 = 6,683.93 : x
  2. Step 2: Convert to fraction form
    11,398.13/15,732.04 = 6,683.93/x
  3. Step 3: Cross multiply
    11,398.13x = 15,732.04 × 6,683.93
  4. Step 4: Simplify right side
    11,398.13x = 105,151,854.12
  5. Step 5: Solve for x
    x = 105,151,854.12/11,398.13
  6. Step 6: Final answer
    x = 9,225.36

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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.