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Finding the Fourth Proportional to 11,854.13, 16,358.10 and 6,547.92

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Solution

The fourth proportional to 11,854.13, 16,358.10 and 6,547.92 is: 9,035.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.13 : 16,358.10 = 6,547.92 : x
  2. Step 2: Convert to fraction form
    11,854.13/16,358.10 = 6,547.92/x
  3. Step 3: Cross multiply
    11,854.13x = 16,358.10 × 6,547.92
  4. Step 4: Simplify right side
    11,854.13x = 107,111,530.15
  5. Step 5: Solve for x
    x = 107,111,530.15/11,854.13
  6. Step 6: Final answer
    x = 9,035.80

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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.