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Finding the Fourth Proportional to 11,507.64, 15,886.47 and 6,793.44

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Solution

The fourth proportional to 11,507.64, 15,886.47 and 6,793.44 is: 9,378.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,507.64 : 15,886.47 = 6,793.44 : x
  2. Step 2: Convert to fraction form
    11,507.64/15,886.47 = 6,793.44/x
  3. Step 3: Cross multiply
    11,507.64x = 15,886.47 × 6,793.44
  4. Step 4: Simplify right side
    11,507.64x = 107,923,780.76
  5. Step 5: Solve for x
    x = 107,923,780.76/11,507.64
  6. Step 6: Final answer
    x = 9,378.45

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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.