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Finding the Fourth Proportional to 10,626.80, 15,938.98 and 2,835

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Solution

The fourth proportional to 10,626.80, 15,938.98 and 2,835 is: 4,252.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,626.80 : 15,938.98 = 2,835 : x
  2. Step 2: Convert to fraction form
    10,626.80/15,938.98 = 2,835/x
  3. Step 3: Cross multiply
    10,626.80x = 15,938.98 × 2,835
  4. Step 4: Simplify right side
    10,626.80x = 45,187,001.21
  5. Step 5: Solve for x
    x = 45,187,001.21/10,626.80
  6. Step 6: Final answer
    x = 4,252.18

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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.