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Finding the Fourth Proportional to 10,913.94, 15,060.42 and 6,133.14

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Solution

The fourth proportional to 10,913.94, 15,060.42 and 6,133.14 is: 8,463.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,913.94 : 15,060.42 = 6,133.14 : x
  2. Step 2: Convert to fraction form
    10,913.94/15,060.42 = 6,133.14/x
  3. Step 3: Cross multiply
    10,913.94x = 15,060.42 × 6,133.14
  4. Step 4: Simplify right side
    10,913.94x = 92,367,664.32
  5. Step 5: Solve for x
    x = 92,367,664.32/10,913.94
  6. Step 6: Final answer
    x = 8,463.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.