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Finding the Fourth Proportional to 7,818.04, 10,788.78 and 4,281.16

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Solution

The fourth proportional to 7,818.04, 10,788.78 and 4,281.16 is: 5,907.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,818.04 : 10,788.78 = 4,281.16 : x
  2. Step 2: Convert to fraction form
    7,818.04/10,788.78 = 4,281.16/x
  3. Step 3: Cross multiply
    7,818.04x = 10,788.78 × 4,281.16
  4. Step 4: Simplify right side
    7,818.04x = 46,188,493.38
  5. Step 5: Solve for x
    x = 46,188,493.38/7,818.04
  6. Step 6: Final answer
    x = 5,907.94

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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.