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Finding the Fourth Proportional to 7,901.42, 10,903.88 and 4,364.62

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Solution

The fourth proportional to 7,901.42, 10,903.88 and 4,364.62 is: 6,023.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,901.42 : 10,903.88 = 4,364.62 : x
  2. Step 2: Convert to fraction form
    7,901.42/10,903.88 = 4,364.62/x
  3. Step 3: Cross multiply
    7,901.42x = 10,903.88 × 4,364.62
  4. Step 4: Simplify right side
    7,901.42x = 47,591,276.38
  5. Step 5: Solve for x
    x = 47,591,276.38/7,901.42
  6. Step 6: Final answer
    x = 6,023.13

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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.