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Finding the Fourth Proportional to 11,530.59, 17,287 and 5,286.10

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Solution

The fourth proportional to 11,530.59, 17,287 and 5,286.10 is: 7,925.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,530.59 : 17,287 = 5,286.10 : x
  2. Step 2: Convert to fraction form
    11,530.59/17,287 = 5,286.10/x
  3. Step 3: Cross multiply
    11,530.59x = 17,287 × 5,286.10
  4. Step 4: Simplify right side
    11,530.59x = 91,380,810.70
  5. Step 5: Solve for x
    x = 91,380,810.70/11,530.59
  6. Step 6: Final answer
    x = 7,925.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.