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Finding the Fourth Proportional to 10,280.56, 15,445.46 and 6,590

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Solution

The fourth proportional to 10,280.56, 15,445.46 and 6,590 is: 9,900.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,280.56 : 15,445.46 = 6,590 : x
  2. Step 2: Convert to fraction form
    10,280.56/15,445.46 = 6,590/x
  3. Step 3: Cross multiply
    10,280.56x = 15,445.46 × 6,590
  4. Step 4: Simplify right side
    10,280.56x = 101,785,581.40
  5. Step 5: Solve for x
    x = 101,785,581.40/10,280.56
  6. Step 6: Final answer
    x = 9,900.78

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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.