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Finding the Fourth Proportional to 7,498.77, 10,348.40 and 4,141.57

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Solution

The fourth proportional to 7,498.77, 10,348.40 and 4,141.57 is: 5,715.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,498.77 : 10,348.40 = 4,141.57 : x
  2. Step 2: Convert to fraction form
    7,498.77/10,348.40 = 4,141.57/x
  3. Step 3: Cross multiply
    7,498.77x = 10,348.40 × 4,141.57
  4. Step 4: Simplify right side
    7,498.77x = 42,858,602.28
  5. Step 5: Solve for x
    x = 42,858,602.28/7,498.77
  6. Step 6: Final answer
    x = 5,715.42

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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.