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Finding the Fourth Proportional to 10,019.06, 13,817.78 and 6,039.34

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Solution

The fourth proportional to 10,019.06, 13,817.78 and 6,039.34 is: 8,329.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.06 : 13,817.78 = 6,039.34 : x
  2. Step 2: Convert to fraction form
    10,019.06/13,817.78 = 6,039.34/x
  3. Step 3: Cross multiply
    10,019.06x = 13,817.78 × 6,039.34
  4. Step 4: Simplify right side
    10,019.06x = 83,450,271.47
  5. Step 5: Solve for x
    x = 83,450,271.47/10,019.06
  6. Step 6: Final answer
    x = 8,329.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.