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Finding the Fourth Proportional to 7,002.42, 10,505.54 and 3,670.88

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Solution

The fourth proportional to 7,002.42, 10,505.54 and 3,670.88 is: 5,507.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.42 : 10,505.54 = 3,670.88 : x
  2. Step 2: Convert to fraction form
    7,002.42/10,505.54 = 3,670.88/x
  3. Step 3: Cross multiply
    7,002.42x = 10,505.54 × 3,670.88
  4. Step 4: Simplify right side
    7,002.42x = 38,564,576.68
  5. Step 5: Solve for x
    x = 38,564,576.68/7,002.42
  6. Step 6: Final answer
    x = 5,507.32

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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.