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Finding the Fourth Proportional to 10,398.12, 14,352.82 and 8,277.54

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Solution

The fourth proportional to 10,398.12, 14,352.82 and 8,277.54 is: 11,425.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.12 : 14,352.82 = 8,277.54 : x
  2. Step 2: Convert to fraction form
    10,398.12/14,352.82 = 8,277.54/x
  3. Step 3: Cross multiply
    10,398.12x = 14,352.82 × 8,277.54
  4. Step 4: Simplify right side
    10,398.12x = 118,806,041.66
  5. Step 5: Solve for x
    x = 118,806,041.66/10,398.12
  6. Step 6: Final answer
    x = 11,425.72

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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.