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Finding the Fourth Proportional to 7,578.88, 11,370.14 and 2,384.76

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Solution

The fourth proportional to 7,578.88, 11,370.14 and 2,384.76 is: 3,577.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578.88 : 11,370.14 = 2,384.76 : x
  2. Step 2: Convert to fraction form
    7,578.88/11,370.14 = 2,384.76/x
  3. Step 3: Cross multiply
    7,578.88x = 11,370.14 × 2,384.76
  4. Step 4: Simplify right side
    7,578.88x = 27,115,055.07
  5. Step 5: Solve for x
    x = 27,115,055.07/7,578.88
  6. Step 6: Final answer
    x = 3,577.71

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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.