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Finding the Fourth Proportional to 10,750.38, 14,835.63 and 5,970.42

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Solution

The fourth proportional to 10,750.38, 14,835.63 and 5,970.42 is: 8,239.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,750.38 : 14,835.63 = 5,970.42 : x
  2. Step 2: Convert to fraction form
    10,750.38/14,835.63 = 5,970.42/x
  3. Step 3: Cross multiply
    10,750.38x = 14,835.63 × 5,970.42
  4. Step 4: Simplify right side
    10,750.38x = 88,574,942.06
  5. Step 5: Solve for x
    x = 88,574,942.06/10,750.38
  6. Step 6: Final answer
    x = 8,239.24

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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.