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Finding the Fourth Proportional to 7,901.40, 10,903.85 and 4,364.38

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Solution

The fourth proportional to 7,901.40, 10,903.85 and 4,364.38 is: 6,022.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,901.40 : 10,903.85 = 4,364.38 : x
  2. Step 2: Convert to fraction form
    7,901.40/10,903.85 = 4,364.38/x
  3. Step 3: Cross multiply
    7,901.40x = 10,903.85 × 4,364.38
  4. Step 4: Simplify right side
    7,901.40x = 47,588,544.86
  5. Step 5: Solve for x
    x = 47,588,544.86/7,901.40
  6. Step 6: Final answer
    x = 6,022.80

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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.