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Finding the Fourth Proportional to 10,655.25, 14,688.44 and 6,878.12

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Solution

The fourth proportional to 10,655.25, 14,688.44 and 6,878.12 is: 9,481.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.25 : 14,688.44 = 6,878.12 : x
  2. Step 2: Convert to fraction form
    10,655.25/14,688.44 = 6,878.12/x
  3. Step 3: Cross multiply
    10,655.25x = 14,688.44 × 6,878.12
  4. Step 4: Simplify right side
    10,655.25x = 101,028,770.89
  5. Step 5: Solve for x
    x = 101,028,770.89/10,655.25
  6. Step 6: Final answer
    x = 9,481.60

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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.