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Finding the Fourth Proportional to 10,788.26, 14,886.06 and 6,811.52

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Solution

The fourth proportional to 10,788.26, 14,886.06 and 6,811.52 is: 9,398.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,788.26 : 14,886.06 = 6,811.52 : x
  2. Step 2: Convert to fraction form
    10,788.26/14,886.06 = 6,811.52/x
  3. Step 3: Cross multiply
    10,788.26x = 14,886.06 × 6,811.52
  4. Step 4: Simplify right side
    10,788.26x = 101,396,695.41
  5. Step 5: Solve for x
    x = 101,396,695.41/10,788.26
  6. Step 6: Final answer
    x = 9,398.80

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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.