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Finding the Fourth Proportional to 11,065.32, 15,261.75 and 7,708.14

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Solution

The fourth proportional to 11,065.32, 15,261.75 and 7,708.14 is: 10,631.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,065.32 : 15,261.75 = 7,708.14 : x
  2. Step 2: Convert to fraction form
    11,065.32/15,261.75 = 7,708.14/x
  3. Step 3: Cross multiply
    11,065.32x = 15,261.75 × 7,708.14
  4. Step 4: Simplify right side
    11,065.32x = 117,639,705.65
  5. Step 5: Solve for x
    x = 117,639,705.65/11,065.32
  6. Step 6: Final answer
    x = 10,631.39

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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.