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Finding the Fourth Proportional to 10,527, 15,795.42 and 4,603.12

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Solution

The fourth proportional to 10,527, 15,795.42 and 4,603.12 is: 6,906.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527 : 15,795.42 = 4,603.12 : x
  2. Step 2: Convert to fraction form
    10,527/15,795.42 = 4,603.12/x
  3. Step 3: Cross multiply
    10,527x = 15,795.42 × 4,603.12
  4. Step 4: Simplify right side
    10,527x = 72,708,213.71
  5. Step 5: Solve for x
    x = 72,708,213.71/10,527
  6. Step 6: Final answer
    x = 6,906.83

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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.