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Finding the Fourth Proportional to 10,489.64, 14,475.58 and 6,297.89

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Solution

The fourth proportional to 10,489.64, 14,475.58 and 6,297.89 is: 8,691.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.64 : 14,475.58 = 6,297.89 : x
  2. Step 2: Convert to fraction form
    10,489.64/14,475.58 = 6,297.89/x
  3. Step 3: Cross multiply
    10,489.64x = 14,475.58 × 6,297.89
  4. Step 4: Simplify right side
    10,489.64x = 91,165,522.40
  5. Step 5: Solve for x
    x = 91,165,522.40/10,489.64
  6. Step 6: Final answer
    x = 8,691.01

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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.