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Finding the Fourth Proportional to 10,802.43, 14,907.92 and 6,087.15

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Solution

The fourth proportional to 10,802.43, 14,907.92 and 6,087.15 is: 8,400.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.43 : 14,907.92 = 6,087.15 : x
  2. Step 2: Convert to fraction form
    10,802.43/14,907.92 = 6,087.15/x
  3. Step 3: Cross multiply
    10,802.43x = 14,907.92 × 6,087.15
  4. Step 4: Simplify right side
    10,802.43x = 90,746,714.79
  5. Step 5: Solve for x
    x = 90,746,714.79/10,802.43
  6. Step 6: Final answer
    x = 8,400.58

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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.