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Finding the Fourth Proportional to 7,788.16, 10,751.04 and 4,647.04

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Solution

The fourth proportional to 7,788.16, 10,751.04 and 4,647.04 is: 6,414.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788.16 : 10,751.04 = 4,647.04 : x
  2. Step 2: Convert to fraction form
    7,788.16/10,751.04 = 4,647.04/x
  3. Step 3: Cross multiply
    7,788.16x = 10,751.04 × 4,647.04
  4. Step 4: Simplify right side
    7,788.16x = 49,960,512.92
  5. Step 5: Solve for x
    x = 49,960,512.92/7,788.16
  6. Step 6: Final answer
    x = 6,414.93

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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.