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Finding the Fourth Proportional to 10,695.96, 16,068.60 and 6,316.56

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Solution

The fourth proportional to 10,695.96, 16,068.60 and 6,316.56 is: 9,489.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,695.96 : 16,068.60 = 6,316.56 : x
  2. Step 2: Convert to fraction form
    10,695.96/16,068.60 = 6,316.56/x
  3. Step 3: Cross multiply
    10,695.96x = 16,068.60 × 6,316.56
  4. Step 4: Simplify right side
    10,695.96x = 101,498,276.02
  5. Step 5: Solve for x
    x = 101,498,276.02/10,695.96
  6. Step 6: Final answer
    x = 9,489.40

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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.