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Finding the Fourth Proportional to 10,532, 14,535.44 and 6,116

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Solution

The fourth proportional to 10,532, 14,535.44 and 6,116 is: 8,440.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,532 : 14,535.44 = 6,116 : x
  2. Step 2: Convert to fraction form
    10,532/14,535.44 = 6,116/x
  3. Step 3: Cross multiply
    10,532x = 14,535.44 × 6,116
  4. Step 4: Simplify right side
    10,532x = 88,898,751.04
  5. Step 5: Solve for x
    x = 88,898,751.04/10,532
  6. Step 6: Final answer
    x = 8,440.82

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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.