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Finding the Fourth Proportional to 7,587.92, 10,471.01 and 5,597.76

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Solution

The fourth proportional to 7,587.92, 10,471.01 and 5,597.76 is: 7,724.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,587.92 : 10,471.01 = 5,597.76 : x
  2. Step 2: Convert to fraction form
    7,587.92/10,471.01 = 5,597.76/x
  3. Step 3: Cross multiply
    7,587.92x = 10,471.01 × 5,597.76
  4. Step 4: Simplify right side
    7,587.92x = 58,614,200.94
  5. Step 5: Solve for x
    x = 58,614,200.94/7,587.92
  6. Step 6: Final answer
    x = 7,724.67

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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.