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Finding the Fourth Proportional to 10,506.84, 15,761.14 and 2,715.80

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Solution

The fourth proportional to 10,506.84, 15,761.14 and 2,715.80 is: 4,073.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.84 : 15,761.14 = 2,715.80 : x
  2. Step 2: Convert to fraction form
    10,506.84/15,761.14 = 2,715.80/x
  3. Step 3: Cross multiply
    10,506.84x = 15,761.14 × 2,715.80
  4. Step 4: Simplify right side
    10,506.84x = 42,804,104.01
  5. Step 5: Solve for x
    x = 42,804,104.01/10,506.84
  6. Step 6: Final answer
    x = 4,073.93

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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.