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Finding the Fourth Proportional to 10,534.84, 15,806.50 and 4,687.44

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Solution

The fourth proportional to 10,534.84, 15,806.50 and 4,687.44 is: 7,033.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.84 : 15,806.50 = 4,687.44 : x
  2. Step 2: Convert to fraction form
    10,534.84/15,806.50 = 4,687.44/x
  3. Step 3: Cross multiply
    10,534.84x = 15,806.50 × 4,687.44
  4. Step 4: Simplify right side
    10,534.84x = 74,092,020.36
  5. Step 5: Solve for x
    x = 74,092,020.36/10,534.84
  6. Step 6: Final answer
    x = 7,033.05

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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.