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Finding the Fourth Proportional to 7,534.72, 10,390.08 and 5,046.40

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Solution

The fourth proportional to 7,534.72, 10,390.08 and 5,046.40 is: 6,958.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.72 : 10,390.08 = 5,046.40 : x
  2. Step 2: Convert to fraction form
    7,534.72/10,390.08 = 5,046.40/x
  3. Step 3: Cross multiply
    7,534.72x = 10,390.08 × 5,046.40
  4. Step 4: Simplify right side
    7,534.72x = 52,432,499.71
  5. Step 5: Solve for x
    x = 52,432,499.71/7,534.72
  6. Step 6: Final answer
    x = 6,958.79

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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.