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Finding the Fourth Proportional to 11,308.16, 15,587.28 and 8,914.25

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Solution

The fourth proportional to 11,308.16, 15,587.28 and 8,914.25 is: 12,287.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,308.16 : 15,587.28 = 8,914.25 : x
  2. Step 2: Convert to fraction form
    11,308.16/15,587.28 = 8,914.25/x
  3. Step 3: Cross multiply
    11,308.16x = 15,587.28 × 8,914.25
  4. Step 4: Simplify right side
    11,308.16x = 138,948,949.71
  5. Step 5: Solve for x
    x = 138,948,949.71/11,308.16
  6. Step 6: Final answer
    x = 12,287.49

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