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Finding the Fourth Proportional to 10,011.84, 15,016.80 and 3,084.48

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Solution

The fourth proportional to 10,011.84, 15,016.80 and 3,084.48 is: 4,626.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,011.84 : 15,016.80 = 3,084.48 : x
  2. Step 2: Convert to fraction form
    10,011.84/15,016.80 = 3,084.48/x
  3. Step 3: Cross multiply
    10,011.84x = 15,016.80 × 3,084.48
  4. Step 4: Simplify right side
    10,011.84x = 46,319,019.26
  5. Step 5: Solve for x
    x = 46,319,019.26/10,011.84
  6. Step 6: Final answer
    x = 4,626.42

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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.