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Finding the Fourth Proportional to 7,532.98, 10,395.86 and 4,175.87

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Solution

The fourth proportional to 7,532.98, 10,395.86 and 4,175.87 is: 5,762.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,532.98 : 10,395.86 = 4,175.87 : x
  2. Step 2: Convert to fraction form
    7,532.98/10,395.86 = 4,175.87/x
  3. Step 3: Cross multiply
    7,532.98x = 10,395.86 × 4,175.87
  4. Step 4: Simplify right side
    7,532.98x = 43,411,759.90
  5. Step 5: Solve for x
    x = 43,411,759.90/7,532.98
  6. Step 6: Final answer
    x = 5,762.89

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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.