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Finding the Fourth Proportional to 7,541.76, 10,402.32 and 5,189.52

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Solution

The fourth proportional to 7,541.76, 10,402.32 and 5,189.52 is: 7,157.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,541.76 : 10,402.32 = 5,189.52 : x
  2. Step 2: Convert to fraction form
    7,541.76/10,402.32 = 5,189.52/x
  3. Step 3: Cross multiply
    7,541.76x = 10,402.32 × 5,189.52
  4. Step 4: Simplify right side
    7,541.76x = 53,983,047.69
  5. Step 5: Solve for x
    x = 53,983,047.69/7,541.76
  6. Step 6: Final answer
    x = 7,157.88

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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.