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Finding the Fourth Proportional to 6,186.62, 8,538.46 and 4,870.23

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Solution

The fourth proportional to 6,186.62, 8,538.46 and 4,870.23 is: 6,721.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.62 : 8,538.46 = 4,870.23 : x
  2. Step 2: Convert to fraction form
    6,186.62/8,538.46 = 4,870.23/x
  3. Step 3: Cross multiply
    6,186.62x = 8,538.46 × 4,870.23
  4. Step 4: Simplify right side
    6,186.62x = 41,584,264.05
  5. Step 5: Solve for x
    x = 41,584,264.05/6,186.62
  6. Step 6: Final answer
    x = 6,721.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.