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Finding the Fourth Proportional to 10,707.42, 16,059.92 and 2,916.84

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Solution

The fourth proportional to 10,707.42, 16,059.92 and 2,916.84 is: 4,374.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.42 : 16,059.92 = 2,916.84 : x
  2. Step 2: Convert to fraction form
    10,707.42/16,059.92 = 2,916.84/x
  3. Step 3: Cross multiply
    10,707.42x = 16,059.92 × 2,916.84
  4. Step 4: Simplify right side
    10,707.42x = 46,844,202.47
  5. Step 5: Solve for x
    x = 46,844,202.47/10,707.42
  6. Step 6: Final answer
    x = 4,374.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.