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Finding the Fourth Proportional to 7,498.44, 10,347.57 and 4,141.53

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Solution

The fourth proportional to 7,498.44, 10,347.57 and 4,141.53 is: 5,715.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,498.44 : 10,347.57 = 4,141.53 : x
  2. Step 2: Convert to fraction form
    7,498.44/10,347.57 = 4,141.53/x
  3. Step 3: Cross multiply
    7,498.44x = 10,347.57 × 4,141.53
  4. Step 4: Simplify right side
    7,498.44x = 42,854,771.58
  5. Step 5: Solve for x
    x = 42,854,771.58/7,498.44
  6. Step 6: Final answer
    x = 5,715.16

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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.