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Finding the Fourth Proportional to 7,582.42, 11,375.16 and 2,387.08

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Solution

The fourth proportional to 7,582.42, 11,375.16 and 2,387.08 is: 3,581.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582.42 : 11,375.16 = 2,387.08 : x
  2. Step 2: Convert to fraction form
    7,582.42/11,375.16 = 2,387.08/x
  3. Step 3: Cross multiply
    7,582.42x = 11,375.16 × 2,387.08
  4. Step 4: Simplify right side
    7,582.42x = 27,153,416.93
  5. Step 5: Solve for x
    x = 27,153,416.93/7,582.42
  6. Step 6: Final answer
    x = 3,581.10

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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.