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Finding the Fourth Proportional to 7,102.18, 10,656.60 and 3,641.86

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Solution

The fourth proportional to 7,102.18, 10,656.60 and 3,641.86 is: 5,464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.18 : 10,656.60 = 3,641.86 : x
  2. Step 2: Convert to fraction form
    7,102.18/10,656.60 = 3,641.86/x
  3. Step 3: Cross multiply
    7,102.18x = 10,656.60 × 3,641.86
  4. Step 4: Simplify right side
    7,102.18x = 38,809,845.28
  5. Step 5: Solve for x
    x = 38,809,845.28/7,102.18
  6. Step 6: Final answer
    x = 5,464.50

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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.