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Finding the Fourth Proportional to 11,158.16, 15,399.63 and 6,442.47

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Solution

The fourth proportional to 11,158.16, 15,399.63 and 6,442.47 is: 8,891.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,158.16 : 15,399.63 = 6,442.47 : x
  2. Step 2: Convert to fraction form
    11,158.16/15,399.63 = 6,442.47/x
  3. Step 3: Cross multiply
    11,158.16x = 15,399.63 × 6,442.47
  4. Step 4: Simplify right side
    11,158.16x = 99,211,654.29
  5. Step 5: Solve for x
    x = 99,211,654.29/11,158.16
  6. Step 6: Final answer
    x = 8,891.40

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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.