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Finding the Fourth Proportional to 10,147.98, 14,004.90 and 5,672.53

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Solution

The fourth proportional to 10,147.98, 14,004.90 and 5,672.53 is: 7,828.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,147.98 : 14,004.90 = 5,672.53 : x
  2. Step 2: Convert to fraction form
    10,147.98/14,004.90 = 5,672.53/x
  3. Step 3: Cross multiply
    10,147.98x = 14,004.90 × 5,672.53
  4. Step 4: Simplify right side
    10,147.98x = 79,443,232.90
  5. Step 5: Solve for x
    x = 79,443,232.90/10,147.98
  6. Step 6: Final answer
    x = 7,828.47

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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.