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Finding the Fourth Proportional to 10,652.55, 15,966.06 and 7,527.87

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Solution

The fourth proportional to 10,652.55, 15,966.06 and 7,527.87 is: 11,282.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.55 : 15,966.06 = 7,527.87 : x
  2. Step 2: Convert to fraction form
    10,652.55/15,966.06 = 7,527.87/x
  3. Step 3: Cross multiply
    10,652.55x = 15,966.06 × 7,527.87
  4. Step 4: Simplify right side
    10,652.55x = 120,190,438.21
  5. Step 5: Solve for x
    x = 120,190,438.21/10,652.55
  6. Step 6: Final answer
    x = 11,282.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.