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Finding the Fourth Proportional to 10,242.70, 14,136.27 and 5,767.32

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Solution

The fourth proportional to 10,242.70, 14,136.27 and 5,767.32 is: 7,959.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,242.70 : 14,136.27 = 5,767.32 : x
  2. Step 2: Convert to fraction form
    10,242.70/14,136.27 = 5,767.32/x
  3. Step 3: Cross multiply
    10,242.70x = 14,136.27 × 5,767.32
  4. Step 4: Simplify right side
    10,242.70x = 81,528,363.86
  5. Step 5: Solve for x
    x = 81,528,363.86/10,242.70
  6. Step 6: Final answer
    x = 7,959.66

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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.