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Finding the Fourth Proportional to 10,988.65, 15,164.13 and 5,952.84

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Solution

The fourth proportional to 10,988.65, 15,164.13 and 5,952.84 is: 8,214.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,988.65 : 15,164.13 = 5,952.84 : x
  2. Step 2: Convert to fraction form
    10,988.65/15,164.13 = 5,952.84/x
  3. Step 3: Cross multiply
    10,988.65x = 15,164.13 × 5,952.84
  4. Step 4: Simplify right side
    10,988.65x = 90,269,639.63
  5. Step 5: Solve for x
    x = 90,269,639.63/10,988.65
  6. Step 6: Final answer
    x = 8,214.81

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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.