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Finding the Fourth Proportional to 8,547.83, 11,778.49 and 6,306.15

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Solution

The fourth proportional to 8,547.83, 11,778.49 and 6,306.15 is: 8,689.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.83 : 11,778.49 = 6,306.15 : x
  2. Step 2: Convert to fraction form
    8,547.83/11,778.49 = 6,306.15/x
  3. Step 3: Cross multiply
    8,547.83x = 11,778.49 × 6,306.15
  4. Step 4: Simplify right side
    8,547.83x = 74,276,924.71
  5. Step 5: Solve for x
    x = 74,276,924.71/8,547.83
  6. Step 6: Final answer
    x = 8,689.57

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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.