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Finding the Fourth Proportional to 7,141.36, 9,860.55 and 5,566.72

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Solution

The fourth proportional to 7,141.36, 9,860.55 and 5,566.72 is: 7,686.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.36 : 9,860.55 = 5,566.72 : x
  2. Step 2: Convert to fraction form
    7,141.36/9,860.55 = 5,566.72/x
  3. Step 3: Cross multiply
    7,141.36x = 9,860.55 × 5,566.72
  4. Step 4: Simplify right side
    7,141.36x = 54,890,920.90
  5. Step 5: Solve for x
    x = 54,890,920.90/7,141.36
  6. Step 6: Final answer
    x = 7,686.34

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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.