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Finding the Fourth Proportional to 10,474.86, 15,712.26 and 6,582

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Solution

The fourth proportional to 10,474.86, 15,712.26 and 6,582 is: 9,872.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.86 : 15,712.26 = 6,582 : x
  2. Step 2: Convert to fraction form
    10,474.86/15,712.26 = 6,582/x
  3. Step 3: Cross multiply
    10,474.86x = 15,712.26 × 6,582
  4. Step 4: Simplify right side
    10,474.86x = 103,418,095.32
  5. Step 5: Solve for x
    x = 103,418,095.32/10,474.86
  6. Step 6: Final answer
    x = 9,872.98

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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.