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Finding the Fourth Proportional to 10,909.66, 15,054.61 and 6,433.20

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Solution

The fourth proportional to 10,909.66, 15,054.61 and 6,433.20 is: 8,877.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909.66 : 15,054.61 = 6,433.20 : x
  2. Step 2: Convert to fraction form
    10,909.66/15,054.61 = 6,433.20/x
  3. Step 3: Cross multiply
    10,909.66x = 15,054.61 × 6,433.20
  4. Step 4: Simplify right side
    10,909.66x = 96,849,317.05
  5. Step 5: Solve for x
    x = 96,849,317.05/10,909.66
  6. Step 6: Final answer
    x = 8,877.39

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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.