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Finding the Fourth Proportional to 11,065.64, 15,274.26 and 6,590.78

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Solution

The fourth proportional to 11,065.64, 15,274.26 and 6,590.78 is: 9,097.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,065.64 : 15,274.26 = 6,590.78 : x
  2. Step 2: Convert to fraction form
    11,065.64/15,274.26 = 6,590.78/x
  3. Step 3: Cross multiply
    11,065.64x = 15,274.26 × 6,590.78
  4. Step 4: Simplify right side
    11,065.64x = 100,669,287.32
  5. Step 5: Solve for x
    x = 100,669,287.32/11,065.64
  6. Step 6: Final answer
    x = 9,097.47

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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.