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Finding the Fourth Proportional to 10,809.65, 14,917.87 and 8,152.45

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Solution

The fourth proportional to 10,809.65, 14,917.87 and 8,152.45 is: 11,250.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809.65 : 14,917.87 = 8,152.45 : x
  2. Step 2: Convert to fraction form
    10,809.65/14,917.87 = 8,152.45/x
  3. Step 3: Cross multiply
    10,809.65x = 14,917.87 × 8,152.45
  4. Step 4: Simplify right side
    10,809.65x = 121,617,162.18
  5. Step 5: Solve for x
    x = 121,617,162.18/10,809.65
  6. Step 6: Final answer
    x = 11,250.79

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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.