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Finding the Fourth Proportional to 7,058.18, 9,742.20 and 4,404.02

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Solution

The fourth proportional to 7,058.18, 9,742.20 and 4,404.02 is: 6,078.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,058.18 : 9,742.20 = 4,404.02 : x
  2. Step 2: Convert to fraction form
    7,058.18/9,742.20 = 4,404.02/x
  3. Step 3: Cross multiply
    7,058.18x = 9,742.20 × 4,404.02
  4. Step 4: Simplify right side
    7,058.18x = 42,904,843.64
  5. Step 5: Solve for x
    x = 42,904,843.64/7,058.18
  6. Step 6: Final answer
    x = 6,078.74

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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.