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Finding the Fourth Proportional to 7,578.60, 11,367.65 and 2,031.65

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Solution

The fourth proportional to 7,578.60, 11,367.65 and 2,031.65 is: 3,047.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578.60 : 11,367.65 = 2,031.65 : x
  2. Step 2: Convert to fraction form
    7,578.60/11,367.65 = 2,031.65/x
  3. Step 3: Cross multiply
    7,578.60x = 11,367.65 × 2,031.65
  4. Step 4: Simplify right side
    7,578.60x = 23,095,019.13
  5. Step 5: Solve for x
    x = 23,095,019.13/7,578.60
  6. Step 6: Final answer
    x = 3,047.40

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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.