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Finding the Fourth Proportional to 10,009.60, 15,013.92 and 3,084.16

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Solution

The fourth proportional to 10,009.60, 15,013.92 and 3,084.16 is: 4,626.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009.60 : 15,013.92 = 3,084.16 : x
  2. Step 2: Convert to fraction form
    10,009.60/15,013.92 = 3,084.16/x
  3. Step 3: Cross multiply
    10,009.60x = 15,013.92 × 3,084.16
  4. Step 4: Simplify right side
    10,009.60x = 46,305,331.51
  5. Step 5: Solve for x
    x = 46,305,331.51/10,009.60
  6. Step 6: Final answer
    x = 4,626.09

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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.