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Finding the Fourth Proportional to 11,308.20, 15,573.06 and 8,159.40

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Solution

The fourth proportional to 11,308.20, 15,573.06 and 8,159.40 is: 11,236.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,308.20 : 15,573.06 = 8,159.40 : x
  2. Step 2: Convert to fraction form
    11,308.20/15,573.06 = 8,159.40/x
  3. Step 3: Cross multiply
    11,308.20x = 15,573.06 × 8,159.40
  4. Step 4: Simplify right side
    11,308.20x = 127,066,825.76
  5. Step 5: Solve for x
    x = 127,066,825.76/11,308.20
  6. Step 6: Final answer
    x = 11,236.70

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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.