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Finding the Fourth Proportional to 10,761.65, 16,143.40 and 2,970.46

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Solution

The fourth proportional to 10,761.65, 16,143.40 and 2,970.46 is: 4,455.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761.65 : 16,143.40 = 2,970.46 : x
  2. Step 2: Convert to fraction form
    10,761.65/16,143.40 = 2,970.46/x
  3. Step 3: Cross multiply
    10,761.65x = 16,143.40 × 2,970.46
  4. Step 4: Simplify right side
    10,761.65x = 47,953,276.18
  5. Step 5: Solve for x
    x = 47,953,276.18/10,761.65
  6. Step 6: Final answer
    x = 4,455.94

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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.