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Finding the Fourth Proportional to 10,148.46, 14,005.16 and 5,672.22

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Solution

The fourth proportional to 10,148.46, 14,005.16 and 5,672.22 is: 7,827.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,148.46 : 14,005.16 = 5,672.22 : x
  2. Step 2: Convert to fraction form
    10,148.46/14,005.16 = 5,672.22/x
  3. Step 3: Cross multiply
    10,148.46x = 14,005.16 × 5,672.22
  4. Step 4: Simplify right side
    10,148.46x = 79,440,348.66
  5. Step 5: Solve for x
    x = 79,440,348.66/10,148.46
  6. Step 6: Final answer
    x = 7,827.82

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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.