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Finding the Fourth Proportional to 10,182.36, 15,264.14 and 7,063.84

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Solution

The fourth proportional to 10,182.36, 15,264.14 and 7,063.84 is: 10,589.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,182.36 : 15,264.14 = 7,063.84 : x
  2. Step 2: Convert to fraction form
    10,182.36/15,264.14 = 7,063.84/x
  3. Step 3: Cross multiply
    10,182.36x = 15,264.14 × 7,063.84
  4. Step 4: Simplify right side
    10,182.36x = 107,823,442.70
  5. Step 5: Solve for x
    x = 107,823,442.70/10,182.36
  6. Step 6: Final answer
    x = 10,589.24

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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.