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Finding the Fourth Proportional to 10,506.11, 15,765.84 and 4,959.63

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Solution

The fourth proportional to 10,506.11, 15,765.84 and 4,959.63 is: 7,442.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.11 : 15,765.84 = 4,959.63 : x
  2. Step 2: Convert to fraction form
    10,506.11/15,765.84 = 4,959.63/x
  3. Step 3: Cross multiply
    10,506.11x = 15,765.84 × 4,959.63
  4. Step 4: Simplify right side
    10,506.11x = 78,192,733.04
  5. Step 5: Solve for x
    x = 78,192,733.04/10,506.11
  6. Step 6: Final answer
    x = 7,442.60

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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.