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Finding the Fourth Proportional to 10,216.74, 15,310.94 and 4,656.50

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Solution

The fourth proportional to 10,216.74, 15,310.94 and 4,656.50 is: 6,978.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,216.74 : 15,310.94 = 4,656.50 : x
  2. Step 2: Convert to fraction form
    10,216.74/15,310.94 = 4,656.50/x
  3. Step 3: Cross multiply
    10,216.74x = 15,310.94 × 4,656.50
  4. Step 4: Simplify right side
    10,216.74x = 71,295,292.27
  5. Step 5: Solve for x
    x = 71,295,292.27/10,216.74
  6. Step 6: Final answer
    x = 6,978.28

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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.