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Finding the Fourth Proportional to 7,788.15, 10,750.22 and 6,197.72

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Solution

The fourth proportional to 7,788.15, 10,750.22 and 6,197.72 is: 8,554.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788.15 : 10,750.22 = 6,197.72 : x
  2. Step 2: Convert to fraction form
    7,788.15/10,750.22 = 6,197.72/x
  3. Step 3: Cross multiply
    7,788.15x = 10,750.22 × 6,197.72
  4. Step 4: Simplify right side
    7,788.15x = 66,626,809.07
  5. Step 5: Solve for x
    x = 66,626,809.07/7,788.15
  6. Step 6: Final answer
    x = 8,554.89

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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.