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Finding the Fourth Proportional to 7,498.83, 10,348.46 and 4,141.72

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Solution

The fourth proportional to 7,498.83, 10,348.46 and 4,141.72 is: 5,715.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,498.83 : 10,348.46 = 4,141.72 : x
  2. Step 2: Convert to fraction form
    7,498.83/10,348.46 = 4,141.72/x
  3. Step 3: Cross multiply
    7,498.83x = 10,348.46 × 4,141.72
  4. Step 4: Simplify right side
    7,498.83x = 42,860,403.04
  5. Step 5: Solve for x
    x = 42,860,403.04/7,498.83
  6. Step 6: Final answer
    x = 5,715.62

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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.