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Finding the Fourth Proportional to 8,613.66, 12,929.19 and 5,802.15

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Solution

The fourth proportional to 8,613.66, 12,929.19 and 5,802.15 is: 8,709.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,613.66 : 12,929.19 = 5,802.15 : x
  2. Step 2: Convert to fraction form
    8,613.66/12,929.19 = 5,802.15/x
  3. Step 3: Cross multiply
    8,613.66x = 12,929.19 × 5,802.15
  4. Step 4: Simplify right side
    8,613.66x = 75,017,035.11
  5. Step 5: Solve for x
    x = 75,017,035.11/8,613.66
  6. Step 6: Final answer
    x = 8,709.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.