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Finding the Fourth Proportional to 10,456.84, 15,687.70 and 3,061.42

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Solution

The fourth proportional to 10,456.84, 15,687.70 and 3,061.42 is: 4,592.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,456.84 : 15,687.70 = 3,061.42 : x
  2. Step 2: Convert to fraction form
    10,456.84/15,687.70 = 3,061.42/x
  3. Step 3: Cross multiply
    10,456.84x = 15,687.70 × 3,061.42
  4. Step 4: Simplify right side
    10,456.84x = 48,026,638.53
  5. Step 5: Solve for x
    x = 48,026,638.53/10,456.84
  6. Step 6: Final answer
    x = 4,592.84

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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.