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Finding the Fourth Proportional to 10,442.68, 15,667.97 and 6,285.62

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Solution

The fourth proportional to 10,442.68, 15,667.97 and 6,285.62 is: 9,430.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.68 : 15,667.97 = 6,285.62 : x
  2. Step 2: Convert to fraction form
    10,442.68/15,667.97 = 6,285.62/x
  3. Step 3: Cross multiply
    10,442.68x = 15,667.97 × 6,285.62
  4. Step 4: Simplify right side
    10,442.68x = 98,482,913.33
  5. Step 5: Solve for x
    x = 98,482,913.33/10,442.68
  6. Step 6: Final answer
    x = 9,430.81

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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.