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Finding the Fourth Proportional to 10,295.64, 15,442.24 and 2,900.68

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Solution

The fourth proportional to 10,295.64, 15,442.24 and 2,900.68 is: 4,350.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.64 : 15,442.24 = 2,900.68 : x
  2. Step 2: Convert to fraction form
    10,295.64/15,442.24 = 2,900.68/x
  3. Step 3: Cross multiply
    10,295.64x = 15,442.24 × 2,900.68
  4. Step 4: Simplify right side
    10,295.64x = 44,792,996.72
  5. Step 5: Solve for x
    x = 44,792,996.72/10,295.64
  6. Step 6: Final answer
    x = 4,350.68

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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.