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Finding the Fourth Proportional to 11,103.65, 15,323.16 and 6,068.02

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Solution

The fourth proportional to 11,103.65, 15,323.16 and 6,068.02 is: 8,373.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,103.65 : 15,323.16 = 6,068.02 : x
  2. Step 2: Convert to fraction form
    11,103.65/15,323.16 = 6,068.02/x
  3. Step 3: Cross multiply
    11,103.65x = 15,323.16 × 6,068.02
  4. Step 4: Simplify right side
    11,103.65x = 92,981,241.34
  5. Step 5: Solve for x
    x = 92,981,241.34/11,103.65
  6. Step 6: Final answer
    x = 8,373.93

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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.