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Finding the Fourth Proportional to 11,263.60, 15,543.38 and 6,159.24

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Solution

The fourth proportional to 11,263.60, 15,543.38 and 6,159.24 is: 8,499.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,263.60 : 15,543.38 = 6,159.24 : x
  2. Step 2: Convert to fraction form
    11,263.60/15,543.38 = 6,159.24/x
  3. Step 3: Cross multiply
    11,263.60x = 15,543.38 × 6,159.24
  4. Step 4: Simplify right side
    11,263.60x = 95,735,344.87
  5. Step 5: Solve for x
    x = 95,735,344.87/11,263.60
  6. Step 6: Final answer
    x = 8,499.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.