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Finding the Fourth Proportional to 7,537.46, 10,401.95 and 4,552.70

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Solution

The fourth proportional to 7,537.46, 10,401.95 and 4,552.70 is: 6,282.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,537.46 : 10,401.95 = 4,552.70 : x
  2. Step 2: Convert to fraction form
    7,537.46/10,401.95 = 4,552.70/x
  3. Step 3: Cross multiply
    7,537.46x = 10,401.95 × 4,552.70
  4. Step 4: Simplify right side
    7,537.46x = 47,356,935.00
  5. Step 5: Solve for x
    x = 47,356,935.00/7,537.46
  6. Step 6: Final answer
    x = 6,282.88

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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.