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Finding the Fourth Proportional to 7,498.84, 10,348.34 and 4,141.88

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Solution

The fourth proportional to 7,498.84, 10,348.34 and 4,141.88 is: 5,715.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,498.84 : 10,348.34 = 4,141.88 : x
  2. Step 2: Convert to fraction form
    7,498.84/10,348.34 = 4,141.88/x
  3. Step 3: Cross multiply
    7,498.84x = 10,348.34 × 4,141.88
  4. Step 4: Simplify right side
    7,498.84x = 42,861,582.48
  5. Step 5: Solve for x
    x = 42,861,582.48/7,498.84
  6. Step 6: Final answer
    x = 5,715.76

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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.