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Finding the Fourth Proportional to 10,257, 15,352.20 and 5,319.60

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Solution

The fourth proportional to 10,257, 15,352.20 and 5,319.60 is: 7,962.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257 : 15,352.20 = 5,319.60 : x
  2. Step 2: Convert to fraction form
    10,257/15,352.20 = 5,319.60/x
  3. Step 3: Cross multiply
    10,257x = 15,352.20 × 5,319.60
  4. Step 4: Simplify right side
    10,257x = 81,667,563.12
  5. Step 5: Solve for x
    x = 81,667,563.12/10,257
  6. Step 6: Final answer
    x = 7,962.13

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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.