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Finding the Fourth Proportional to 7,534.17, 10,393.43 and 4,737.69

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Solution

The fourth proportional to 7,534.17, 10,393.43 and 4,737.69 is: 6,535.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.17 : 10,393.43 = 4,737.69 : x
  2. Step 2: Convert to fraction form
    7,534.17/10,393.43 = 4,737.69/x
  3. Step 3: Cross multiply
    7,534.17x = 10,393.43 × 4,737.69
  4. Step 4: Simplify right side
    7,534.17x = 49,240,825.69
  5. Step 5: Solve for x
    x = 49,240,825.69/7,534.17
  6. Step 6: Final answer
    x = 6,535.67

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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.