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Finding the Fourth Proportional to 6,527.48, 9,007.76 and 3,543.24

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Solution

The fourth proportional to 6,527.48, 9,007.76 and 3,543.24 is: 4,889.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.48 : 9,007.76 = 3,543.24 : x
  2. Step 2: Convert to fraction form
    6,527.48/9,007.76 = 3,543.24/x
  3. Step 3: Cross multiply
    6,527.48x = 9,007.76 × 3,543.24
  4. Step 4: Simplify right side
    6,527.48x = 31,916,655.54
  5. Step 5: Solve for x
    x = 31,916,655.54/6,527.48
  6. Step 6: Final answer
    x = 4,889.58

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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.