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Finding the Fourth Proportional to 7,016.12, 9,685.75 and 4,364.38

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Solution

The fourth proportional to 7,016.12, 9,685.75 and 4,364.38 is: 6,025.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,016.12 : 9,685.75 = 4,364.38 : x
  2. Step 2: Convert to fraction form
    7,016.12/9,685.75 = 4,364.38/x
  3. Step 3: Cross multiply
    7,016.12x = 9,685.75 × 4,364.38
  4. Step 4: Simplify right side
    7,016.12x = 42,272,293.59
  5. Step 5: Solve for x
    x = 42,272,293.59/7,016.12
  6. Step 6: Final answer
    x = 6,025.02

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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.