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Finding the Fourth Proportional to 10,705.40, 14,773.04 and 5,989.58

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Solution

The fourth proportional to 10,705.40, 14,773.04 and 5,989.58 is: 8,265.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.40 : 14,773.04 = 5,989.58 : x
  2. Step 2: Convert to fraction form
    10,705.40/14,773.04 = 5,989.58/x
  3. Step 3: Cross multiply
    10,705.40x = 14,773.04 × 5,989.58
  4. Step 4: Simplify right side
    10,705.40x = 88,484,304.92
  5. Step 5: Solve for x
    x = 88,484,304.92/10,705.40
  6. Step 6: Final answer
    x = 8,265.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.