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Finding the Fourth Proportional to 7,695.19, 11,543.90 and 2,428.41

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Solution

The fourth proportional to 7,695.19, 11,543.90 and 2,428.41 is: 3,642.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,695.19 : 11,543.90 = 2,428.41 : x
  2. Step 2: Convert to fraction form
    7,695.19/11,543.90 = 2,428.41/x
  3. Step 3: Cross multiply
    7,695.19x = 11,543.90 × 2,428.41
  4. Step 4: Simplify right side
    7,695.19x = 28,033,310.06
  5. Step 5: Solve for x
    x = 28,033,310.06/7,695.19
  6. Step 6: Final answer
    x = 3,642.97

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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.