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Finding the Fourth Proportional to 11,314.62, 15,604.65 and 7,282.08

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Solution

The fourth proportional to 11,314.62, 15,604.65 and 7,282.08 is: 10,043.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.62 : 15,604.65 = 7,282.08 : x
  2. Step 2: Convert to fraction form
    11,314.62/15,604.65 = 7,282.08/x
  3. Step 3: Cross multiply
    11,314.62x = 15,604.65 × 7,282.08
  4. Step 4: Simplify right side
    11,314.62x = 113,634,309.67
  5. Step 5: Solve for x
    x = 113,634,309.67/11,314.62
  6. Step 6: Final answer
    x = 10,043.14

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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.