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Finding the Fourth Proportional to 8,323.48, 12,453.88 and 7,878.52

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Solution

The fourth proportional to 8,323.48, 12,453.88 and 7,878.52 is: 11,788.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323.48 : 12,453.88 = 7,878.52 : x
  2. Step 2: Convert to fraction form
    8,323.48/12,453.88 = 7,878.52/x
  3. Step 3: Cross multiply
    8,323.48x = 12,453.88 × 7,878.52
  4. Step 4: Simplify right side
    8,323.48x = 98,118,142.66
  5. Step 5: Solve for x
    x = 98,118,142.66/8,323.48
  6. Step 6: Final answer
    x = 11,788.12

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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.