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Finding the Fourth Proportional to 10,148.28, 14,004.18 and 5,672.28

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Solution

The fourth proportional to 10,148.28, 14,004.18 and 5,672.28 is: 7,827.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,148.28 : 14,004.18 = 5,672.28 : x
  2. Step 2: Convert to fraction form
    10,148.28/14,004.18 = 5,672.28/x
  3. Step 3: Cross multiply
    10,148.28x = 14,004.18 × 5,672.28
  4. Step 4: Simplify right side
    10,148.28x = 79,435,630.13
  5. Step 5: Solve for x
    x = 79,435,630.13/10,148.28
  6. Step 6: Final answer
    x = 7,827.50

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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.