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Finding the Fourth Proportional to 7,860.40, 11,788.76 and 2,930.16

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Solution

The fourth proportional to 7,860.40, 11,788.76 and 2,930.16 is: 4,394.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.40 : 11,788.76 = 2,930.16 : x
  2. Step 2: Convert to fraction form
    7,860.40/11,788.76 = 2,930.16/x
  3. Step 3: Cross multiply
    7,860.40x = 11,788.76 × 2,930.16
  4. Step 4: Simplify right side
    7,860.40x = 34,542,953.00
  5. Step 5: Solve for x
    x = 34,542,953.00/7,860.40
  6. Step 6: Final answer
    x = 4,394.55

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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.