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Finding the Fourth Proportional to 7,860.30, 11,778.57 and 5,258.58

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Solution

The fourth proportional to 7,860.30, 11,778.57 and 5,258.58 is: 7,879.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.30 : 11,778.57 = 5,258.58 : x
  2. Step 2: Convert to fraction form
    7,860.30/11,778.57 = 5,258.58/x
  3. Step 3: Cross multiply
    7,860.30x = 11,778.57 × 5,258.58
  4. Step 4: Simplify right side
    7,860.30x = 61,938,552.63
  5. Step 5: Solve for x
    x = 61,938,552.63/7,860.30
  6. Step 6: Final answer
    x = 7,879.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.