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Finding the Fourth Proportional to 7,830.40, 10,808.16 and 5,034.88

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Solution

The fourth proportional to 7,830.40, 10,808.16 and 5,034.88 is: 6,949.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.40 : 10,808.16 = 5,034.88 : x
  2. Step 2: Convert to fraction form
    7,830.40/10,808.16 = 5,034.88/x
  3. Step 3: Cross multiply
    7,830.40x = 10,808.16 × 5,034.88
  4. Step 4: Simplify right side
    7,830.40x = 54,417,788.62
  5. Step 5: Solve for x
    x = 54,417,788.62/7,830.40
  6. Step 6: Final answer
    x = 6,949.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.