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Finding the Fourth Proportional to 7,894.90, 10,895.00 and 4,358.24

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Solution

The fourth proportional to 7,894.90, 10,895.00 and 4,358.24 is: 6,014.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.90 : 10,895.00 = 4,358.24 : x
  2. Step 2: Convert to fraction form
    7,894.90/10,895.00 = 4,358.24/x
  3. Step 3: Cross multiply
    7,894.90x = 10,895.00 × 4,358.24
  4. Step 4: Simplify right side
    7,894.90x = 47,482,948.53
  5. Step 5: Solve for x
    x = 47,482,948.53/7,894.90
  6. Step 6: Final answer
    x = 6,014.38

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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.