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Finding the Fourth Proportional to 8,429.20, 11,547.86 and 8,113.70

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Solution

The fourth proportional to 8,429.20, 11,547.86 and 8,113.70 is: 11,115.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.20 : 11,547.86 = 8,113.70 : x
  2. Step 2: Convert to fraction form
    8,429.20/11,547.86 = 8,113.70/x
  3. Step 3: Cross multiply
    8,429.20x = 11,547.86 × 8,113.70
  4. Step 4: Simplify right side
    8,429.20x = 93,695,859.98
  5. Step 5: Solve for x
    x = 93,695,859.98/8,429.20
  6. Step 6: Final answer
    x = 11,115.63

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.