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Finding the Fourth Proportional to 10,614.64, 14,648.70 and 5,899

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Solution

The fourth proportional to 10,614.64, 14,648.70 and 5,899 is: 8,140.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.64 : 14,648.70 = 5,899 : x
  2. Step 2: Convert to fraction form
    10,614.64/14,648.70 = 5,899/x
  3. Step 3: Cross multiply
    10,614.64x = 14,648.70 × 5,899
  4. Step 4: Simplify right side
    10,614.64x = 86,412,681.30
  5. Step 5: Solve for x
    x = 86,412,681.30/10,614.64
  6. Step 6: Final answer
    x = 8,140.90

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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.