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Finding the Fourth Proportional to 11,281.97, 16,911.97 and 4,710.04

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Solution

The fourth proportional to 11,281.97, 16,911.97 and 4,710.04 is: 7,060.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,281.97 : 16,911.97 = 4,710.04 : x
  2. Step 2: Convert to fraction form
    11,281.97/16,911.97 = 4,710.04/x
  3. Step 3: Cross multiply
    11,281.97x = 16,911.97 × 4,710.04
  4. Step 4: Simplify right side
    11,281.97x = 79,656,055.18
  5. Step 5: Solve for x
    x = 79,656,055.18/11,281.97
  6. Step 6: Final answer
    x = 7,060.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.