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Finding the Fourth Proportional to 7,841.47, 11,763.30 and 2,295.22

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Solution

The fourth proportional to 7,841.47, 11,763.30 and 2,295.22 is: 3,443.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.47 : 11,763.30 = 2,295.22 : x
  2. Step 2: Convert to fraction form
    7,841.47/11,763.30 = 2,295.22/x
  3. Step 3: Cross multiply
    7,841.47x = 11,763.30 × 2,295.22
  4. Step 4: Simplify right side
    7,841.47x = 26,999,302.61
  5. Step 5: Solve for x
    x = 26,999,302.61/7,841.47
  6. Step 6: Final answer
    x = 3,443.14

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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.