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Finding the Fourth Proportional to 7,648.42, 10,560.03 and 5,134.30

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Solution

The fourth proportional to 7,648.42, 10,560.03 and 5,134.30 is: 7,088.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.42 : 10,560.03 = 5,134.30 : x
  2. Step 2: Convert to fraction form
    7,648.42/10,560.03 = 5,134.30/x
  3. Step 3: Cross multiply
    7,648.42x = 10,560.03 × 5,134.30
  4. Step 4: Simplify right side
    7,648.42x = 54,218,362.03
  5. Step 5: Solve for x
    x = 54,218,362.03/7,648.42
  6. Step 6: Final answer
    x = 7,088.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.