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Finding the Fourth Proportional to 7,502.56, 10,354.26 and 4,146.16

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Solution

The fourth proportional to 7,502.56, 10,354.26 and 4,146.16 is: 5,722.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,502.56 : 10,354.26 = 4,146.16 : x
  2. Step 2: Convert to fraction form
    7,502.56/10,354.26 = 4,146.16/x
  3. Step 3: Cross multiply
    7,502.56x = 10,354.26 × 4,146.16
  4. Step 4: Simplify right side
    7,502.56x = 42,930,418.64
  5. Step 5: Solve for x
    x = 42,930,418.64/7,502.56
  6. Step 6: Final answer
    x = 5,722.10

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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.