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Finding the Fourth Proportional to 10,744.76, 16,117.92 and 4,498.49

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Solution

The fourth proportional to 10,744.76, 16,117.92 and 4,498.49 is: 6,748.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744.76 : 16,117.92 = 4,498.49 : x
  2. Step 2: Convert to fraction form
    10,744.76/16,117.92 = 4,498.49/x
  3. Step 3: Cross multiply
    10,744.76x = 16,117.92 × 4,498.49
  4. Step 4: Simplify right side
    10,744.76x = 72,506,301.94
  5. Step 5: Solve for x
    x = 72,506,301.94/10,744.76
  6. Step 6: Final answer
    x = 6,748.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.