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Finding the Fourth Proportional to 10,355.44, 14,278.14 and 8,460.04

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Solution

The fourth proportional to 10,355.44, 14,278.14 and 8,460.04 is: 11,664.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,355.44 : 14,278.14 = 8,460.04 : x
  2. Step 2: Convert to fraction form
    10,355.44/14,278.14 = 8,460.04/x
  3. Step 3: Cross multiply
    10,355.44x = 14,278.14 × 8,460.04
  4. Step 4: Simplify right side
    10,355.44x = 120,793,635.53
  5. Step 5: Solve for x
    x = 120,793,635.53/10,355.44
  6. Step 6: Final answer
    x = 11,664.75

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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.