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Finding the Fourth Proportional to 10,732.49, 14,818.03 and 6,705.45

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Solution

The fourth proportional to 10,732.49, 14,818.03 and 6,705.45 is: 9,258.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,732.49 : 14,818.03 = 6,705.45 : x
  2. Step 2: Convert to fraction form
    10,732.49/14,818.03 = 6,705.45/x
  3. Step 3: Cross multiply
    10,732.49x = 14,818.03 × 6,705.45
  4. Step 4: Simplify right side
    10,732.49x = 99,361,542.50
  5. Step 5: Solve for x
    x = 99,361,542.50/10,732.49
  6. Step 6: Final answer
    x = 9,258.02

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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.