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Finding the Fourth Proportional to 11,547.86, 15,940.13 and 6,832.13

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Solution

The fourth proportional to 11,547.86, 15,940.13 and 6,832.13 is: 9,430.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547.86 : 15,940.13 = 6,832.13 : x
  2. Step 2: Convert to fraction form
    11,547.86/15,940.13 = 6,832.13/x
  3. Step 3: Cross multiply
    11,547.86x = 15,940.13 × 6,832.13
  4. Step 4: Simplify right side
    11,547.86x = 108,904,926.52
  5. Step 5: Solve for x
    x = 108,904,926.52/11,547.86
  6. Step 6: Final answer
    x = 9,430.75

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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.