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Finding the Fourth Proportional to 10,543.04, 15,816.96 and 3,617.12

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Solution

The fourth proportional to 10,543.04, 15,816.96 and 3,617.12 is: 5,426.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.04 : 15,816.96 = 3,617.12 : x
  2. Step 2: Convert to fraction form
    10,543.04/15,816.96 = 3,617.12/x
  3. Step 3: Cross multiply
    10,543.04x = 15,816.96 × 3,617.12
  4. Step 4: Simplify right side
    10,543.04x = 57,211,842.36
  5. Step 5: Solve for x
    x = 57,211,842.36/10,543.04
  6. Step 6: Final answer
    x = 5,426.50

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Why These Related Problems?

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