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Finding the Fourth Proportional to 7,788.38, 10,748.03 and 4,644.63

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Solution

The fourth proportional to 7,788.38, 10,748.03 and 4,644.63 is: 6,409.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788.38 : 10,748.03 = 4,644.63 : x
  2. Step 2: Convert to fraction form
    7,788.38/10,748.03 = 4,644.63/x
  3. Step 3: Cross multiply
    7,788.38x = 10,748.03 × 4,644.63
  4. Step 4: Simplify right side
    7,788.38x = 49,920,599.36
  5. Step 5: Solve for x
    x = 49,920,599.36/7,788.38
  6. Step 6: Final answer
    x = 6,409.63

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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.