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Finding the Fourth Proportional to 7,895.00, 10,894.64 and 4,358.00

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Solution

The fourth proportional to 7,895.00, 10,894.64 and 4,358.00 is: 6,013.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,895.00 : 10,894.64 = 4,358.00 : x
  2. Step 2: Convert to fraction form
    7,895.00/10,894.64 = 4,358.00/x
  3. Step 3: Cross multiply
    7,895.00x = 10,894.64 × 4,358.00
  4. Step 4: Simplify right side
    7,895.00x = 47,478,846.57
  5. Step 5: Solve for x
    x = 47,478,846.57/7,895.00
  6. Step 6: Final answer
    x = 6,013.78

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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.