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Finding the Fourth Proportional to 7,069.92, 10,607.04 and 2,456.16

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Solution

The fourth proportional to 7,069.92, 10,607.04 and 2,456.16 is: 3,684.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,069.92 : 10,607.04 = 2,456.16 : x
  2. Step 2: Convert to fraction form
    7,069.92/10,607.04 = 2,456.16/x
  3. Step 3: Cross multiply
    7,069.92x = 10,607.04 × 2,456.16
  4. Step 4: Simplify right side
    7,069.92x = 26,052,587.37
  5. Step 5: Solve for x
    x = 26,052,587.37/7,069.92
  6. Step 6: Final answer
    x = 3,684.99

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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.