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Finding the Fourth Proportional to 10,489.04, 15,744.50 and 4,649.76

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Solution

The fourth proportional to 10,489.04, 15,744.50 and 4,649.76 is: 6,979.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.04 : 15,744.50 = 4,649.76 : x
  2. Step 2: Convert to fraction form
    10,489.04/15,744.50 = 4,649.76/x
  3. Step 3: Cross multiply
    10,489.04x = 15,744.50 × 4,649.76
  4. Step 4: Simplify right side
    10,489.04x = 73,208,146.32
  5. Step 5: Solve for x
    x = 73,208,146.32/10,489.04
  6. Step 6: Final answer
    x = 6,979.49

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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.