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Finding the Fourth Proportional to 10,761.34, 16,142.93 and 2,970.15

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Solution

The fourth proportional to 10,761.34, 16,142.93 and 2,970.15 is: 4,455.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761.34 : 16,142.93 = 2,970.15 : x
  2. Step 2: Convert to fraction form
    10,761.34/16,142.93 = 2,970.15/x
  3. Step 3: Cross multiply
    10,761.34x = 16,142.93 × 2,970.15
  4. Step 4: Simplify right side
    10,761.34x = 47,946,930.96
  5. Step 5: Solve for x
    x = 47,946,930.96/10,761.34
  6. Step 6: Final answer
    x = 4,455.48

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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.