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Finding the Fourth Proportional to 10,842.32, 16,289.40 and 6,954.32

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Solution

The fourth proportional to 10,842.32, 16,289.40 and 6,954.32 is: 10,448.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.32 : 16,289.40 = 6,954.32 : x
  2. Step 2: Convert to fraction form
    10,842.32/16,289.40 = 6,954.32/x
  3. Step 3: Cross multiply
    10,842.32x = 16,289.40 × 6,954.32
  4. Step 4: Simplify right side
    10,842.32x = 113,281,700.21
  5. Step 5: Solve for x
    x = 113,281,700.21/10,842.32
  6. Step 6: Final answer
    x = 10,448.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.