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Finding the Fourth Proportional to 10,285.62, 15,397.12 and 6,590.46

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Solution

The fourth proportional to 10,285.62, 15,397.12 and 6,590.46 is: 9,865.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.62 : 15,397.12 = 6,590.46 : x
  2. Step 2: Convert to fraction form
    10,285.62/15,397.12 = 6,590.46/x
  3. Step 3: Cross multiply
    10,285.62x = 15,397.12 × 6,590.46
  4. Step 4: Simplify right side
    10,285.62x = 101,474,169.45
  5. Step 5: Solve for x
    x = 101,474,169.45/10,285.62
  6. Step 6: Final answer
    x = 9,865.64

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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.