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Finding the Fourth Proportional to 7,774.40, 11,657.80 and 2,578.52

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Solution

The fourth proportional to 7,774.40, 11,657.80 and 2,578.52 is: 3,866.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.40 : 11,657.80 = 2,578.52 : x
  2. Step 2: Convert to fraction form
    7,774.40/11,657.80 = 2,578.52/x
  3. Step 3: Cross multiply
    7,774.40x = 11,657.80 × 2,578.52
  4. Step 4: Simplify right side
    7,774.40x = 30,059,870.46
  5. Step 5: Solve for x
    x = 30,059,870.46/7,774.40
  6. Step 6: Final answer
    x = 3,866.52

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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.