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Finding the Fourth Proportional to 10,842.68, 16,276.96 and 6,462.20

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Solution

The fourth proportional to 10,842.68, 16,276.96 and 6,462.20 is: 9,701.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.68 : 16,276.96 = 6,462.20 : x
  2. Step 2: Convert to fraction form
    10,842.68/16,276.96 = 6,462.20/x
  3. Step 3: Cross multiply
    10,842.68x = 16,276.96 × 6,462.20
  4. Step 4: Simplify right side
    10,842.68x = 105,184,970.91
  5. Step 5: Solve for x
    x = 105,184,970.91/10,842.68
  6. Step 6: Final answer
    x = 9,701.01

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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.