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Finding the Fourth Proportional to 10,048.65, 13,878.84 and 8,039.04

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Solution

The fourth proportional to 10,048.65, 13,878.84 and 8,039.04 is: 11,103.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048.65 : 13,878.84 = 8,039.04 : x
  2. Step 2: Convert to fraction form
    10,048.65/13,878.84 = 8,039.04/x
  3. Step 3: Cross multiply
    10,048.65x = 13,878.84 × 8,039.04
  4. Step 4: Simplify right side
    10,048.65x = 111,572,549.91
  5. Step 5: Solve for x
    x = 111,572,549.91/10,048.65
  6. Step 6: Final answer
    x = 11,103.24

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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.