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Finding the Fourth Proportional to 7,102.55, 9,801.38 and 4,118.66

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Solution

The fourth proportional to 7,102.55, 9,801.38 and 4,118.66 is: 5,683.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.55 : 9,801.38 = 4,118.66 : x
  2. Step 2: Convert to fraction form
    7,102.55/9,801.38 = 4,118.66/x
  3. Step 3: Cross multiply
    7,102.55x = 9,801.38 × 4,118.66
  4. Step 4: Simplify right side
    7,102.55x = 40,368,482.15
  5. Step 5: Solve for x
    x = 40,368,482.15/7,102.55
  6. Step 6: Final answer
    x = 5,683.66

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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.