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Finding the Fourth Proportional to 10,705.32, 16,062.04 and 4,463.64

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Solution

The fourth proportional to 10,705.32, 16,062.04 and 4,463.64 is: 6,697.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.32 : 16,062.04 = 4,463.64 : x
  2. Step 2: Convert to fraction form
    10,705.32/16,062.04 = 4,463.64/x
  3. Step 3: Cross multiply
    10,705.32x = 16,062.04 × 4,463.64
  4. Step 4: Simplify right side
    10,705.32x = 71,695,164.23
  5. Step 5: Solve for x
    x = 71,695,164.23/10,705.32
  6. Step 6: Final answer
    x = 6,697.15

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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.