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Finding the Fourth Proportional to 10,643.27, 14,688.17 and 5,927.55

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Solution

The fourth proportional to 10,643.27, 14,688.17 and 5,927.55 is: 8,180.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.27 : 14,688.17 = 5,927.55 : x
  2. Step 2: Convert to fraction form
    10,643.27/14,688.17 = 5,927.55/x
  3. Step 3: Cross multiply
    10,643.27x = 14,688.17 × 5,927.55
  4. Step 4: Simplify right side
    10,643.27x = 87,064,948.53
  5. Step 5: Solve for x
    x = 87,064,948.53/10,643.27
  6. Step 6: Final answer
    x = 8,180.28

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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.