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Finding the Fourth Proportional to 10,612.80, 15,884.55 and 7,315.92

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Solution

The fourth proportional to 10,612.80, 15,884.55 and 7,315.92 is: 10,949.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.80 : 15,884.55 = 7,315.92 : x
  2. Step 2: Convert to fraction form
    10,612.80/15,884.55 = 7,315.92/x
  3. Step 3: Cross multiply
    10,612.80x = 15,884.55 × 7,315.92
  4. Step 4: Simplify right side
    10,612.80x = 116,210,097.04
  5. Step 5: Solve for x
    x = 116,210,097.04/10,612.80
  6. Step 6: Final answer
    x = 10,949.99

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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.