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Finding the Fourth Proportional to 10,045.26, 15,068.03 and 4,780.82

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Solution

The fourth proportional to 10,045.26, 15,068.03 and 4,780.82 is: 7,171.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.26 : 15,068.03 = 4,780.82 : x
  2. Step 2: Convert to fraction form
    10,045.26/15,068.03 = 4,780.82/x
  3. Step 3: Cross multiply
    10,045.26x = 15,068.03 × 4,780.82
  4. Step 4: Simplify right side
    10,045.26x = 72,037,439.94
  5. Step 5: Solve for x
    x = 72,037,439.94/10,045.26
  6. Step 6: Final answer
    x = 7,171.29

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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.