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Finding the Fourth Proportional to 10,472.34, 15,706.15 and 3,077.39

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Solution

The fourth proportional to 10,472.34, 15,706.15 and 3,077.39 is: 4,615.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.34 : 15,706.15 = 3,077.39 : x
  2. Step 2: Convert to fraction form
    10,472.34/15,706.15 = 3,077.39/x
  3. Step 3: Cross multiply
    10,472.34x = 15,706.15 × 3,077.39
  4. Step 4: Simplify right side
    10,472.34x = 48,333,997.83
  5. Step 5: Solve for x
    x = 48,333,997.83/10,472.34
  6. Step 6: Final answer
    x = 4,615.40

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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.