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Finding the Fourth Proportional to 10,152, 14,011.38 and 5,959.44

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Solution

The fourth proportional to 10,152, 14,011.38 and 5,959.44 is: 8,224.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,152 : 14,011.38 = 5,959.44 : x
  2. Step 2: Convert to fraction form
    10,152/14,011.38 = 5,959.44/x
  3. Step 3: Cross multiply
    10,152x = 14,011.38 × 5,959.44
  4. Step 4: Simplify right side
    10,152x = 83,499,978.43
  5. Step 5: Solve for x
    x = 83,499,978.43/10,152
  6. Step 6: Final answer
    x = 8,224.98

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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.