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Finding the Fourth Proportional to 10,148.85, 14,005.49 and 5,672.79

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Solution

The fourth proportional to 10,148.85, 14,005.49 and 5,672.79 is: 7,828.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,148.85 : 14,005.49 = 5,672.79 : x
  2. Step 2: Convert to fraction form
    10,148.85/14,005.49 = 5,672.79/x
  3. Step 3: Cross multiply
    10,148.85x = 14,005.49 × 5,672.79
  4. Step 4: Simplify right side
    10,148.85x = 79,450,175.25
  5. Step 5: Solve for x
    x = 79,450,175.25/10,148.85
  6. Step 6: Final answer
    x = 7,828.49

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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.