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Finding the Fourth Proportional to 10,875.20, 16,326.56 and 9,048.65

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Solution

The fourth proportional to 10,875.20, 16,326.56 and 9,048.65 is: 13,584.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,875.20 : 16,326.56 = 9,048.65 : x
  2. Step 2: Convert to fraction form
    10,875.20/16,326.56 = 9,048.65/x
  3. Step 3: Cross multiply
    10,875.20x = 16,326.56 × 9,048.65
  4. Step 4: Simplify right side
    10,875.20x = 147,733,268.13
  5. Step 5: Solve for x
    x = 147,733,268.13/10,875.20
  6. Step 6: Final answer
    x = 13,584.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.