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Finding the Fourth Proportional to 7,788.52, 10,748.19 and 4,252.06

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Solution

The fourth proportional to 7,788.52, 10,748.19 and 4,252.06 is: 5,867.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788.52 : 10,748.19 = 4,252.06 : x
  2. Step 2: Convert to fraction form
    7,788.52/10,748.19 = 4,252.06/x
  3. Step 3: Cross multiply
    7,788.52x = 10,748.19 × 4,252.06
  4. Step 4: Simplify right side
    7,788.52x = 45,701,948.77
  5. Step 5: Solve for x
    x = 45,701,948.77/7,788.52
  6. Step 6: Final answer
    x = 5,867.86

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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.