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Finding the Fourth Proportional to 7,009.08, 10,513.49 and 3,314.81

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Solution

The fourth proportional to 7,009.08, 10,513.49 and 3,314.81 is: 4,972.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.08 : 10,513.49 = 3,314.81 : x
  2. Step 2: Convert to fraction form
    7,009.08/10,513.49 = 3,314.81/x
  3. Step 3: Cross multiply
    7,009.08x = 10,513.49 × 3,314.81
  4. Step 4: Simplify right side
    7,009.08x = 34,850,152.65
  5. Step 5: Solve for x
    x = 34,850,152.65/7,009.08
  6. Step 6: Final answer
    x = 4,972.14

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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.