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Finding the Fourth Proportional to 10,148.87, 14,005.16 and 5,672.65

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Solution

The fourth proportional to 10,148.87, 14,005.16 and 5,672.65 is: 7,828.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,148.87 : 14,005.16 = 5,672.65 : x
  2. Step 2: Convert to fraction form
    10,148.87/14,005.16 = 5,672.65/x
  3. Step 3: Cross multiply
    10,148.87x = 14,005.16 × 5,672.65
  4. Step 4: Simplify right side
    10,148.87x = 79,446,370.87
  5. Step 5: Solve for x
    x = 79,446,370.87/10,148.87
  6. Step 6: Final answer
    x = 7,828.10

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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.