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Finding the Fourth Proportional to 10,788.67, 14,888.46 and 6,538.33

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Solution

The fourth proportional to 10,788.67, 14,888.46 and 6,538.33 is: 9,022.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,788.67 : 14,888.46 = 6,538.33 : x
  2. Step 2: Convert to fraction form
    10,788.67/14,888.46 = 6,538.33/x
  3. Step 3: Cross multiply
    10,788.67x = 14,888.46 × 6,538.33
  4. Step 4: Simplify right side
    10,788.67x = 97,345,664.67
  5. Step 5: Solve for x
    x = 97,345,664.67/10,788.67
  6. Step 6: Final answer
    x = 9,022.95

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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.