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Finding the Fourth Proportional to 7,042.04, 9,720.17 and 4,059.86

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Solution

The fourth proportional to 7,042.04, 9,720.17 and 4,059.86 is: 5,603.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042.04 : 9,720.17 = 4,059.86 : x
  2. Step 2: Convert to fraction form
    7,042.04/9,720.17 = 4,059.86/x
  3. Step 3: Cross multiply
    7,042.04x = 9,720.17 × 4,059.86
  4. Step 4: Simplify right side
    7,042.04x = 39,462,529.38
  5. Step 5: Solve for x
    x = 39,462,529.38/7,042.04
  6. Step 6: Final answer
    x = 5,603.85

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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.