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Finding the Fourth Proportional to 10,665.16, 15,990.89 and 4,429.49

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Solution

The fourth proportional to 10,665.16, 15,990.89 and 4,429.49 is: 6,641.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.16 : 15,990.89 = 4,429.49 : x
  2. Step 2: Convert to fraction form
    10,665.16/15,990.89 = 4,429.49/x
  3. Step 3: Cross multiply
    10,665.16x = 15,990.89 × 4,429.49
  4. Step 4: Simplify right side
    10,665.16x = 70,831,385.24
  5. Step 5: Solve for x
    x = 70,831,385.24/10,665.16
  6. Step 6: Final answer
    x = 6,641.38

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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.