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Finding the Fourth Proportional to 10,719.84, 14,790.42 and 8,948.64

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Solution

The fourth proportional to 10,719.84, 14,790.42 and 8,948.64 is: 12,346.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,719.84 : 14,790.42 = 8,948.64 : x
  2. Step 2: Convert to fraction form
    10,719.84/14,790.42 = 8,948.64/x
  3. Step 3: Cross multiply
    10,719.84x = 14,790.42 × 8,948.64
  4. Step 4: Simplify right side
    10,719.84x = 132,354,144.03
  5. Step 5: Solve for x
    x = 132,354,144.03/10,719.84
  6. Step 6: Final answer
    x = 12,346.65

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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.