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Finding the Fourth Proportional to 10,019.08, 13,824.03 and 6,038.74

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Solution

The fourth proportional to 10,019.08, 13,824.03 and 6,038.74 is: 8,332.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.08 : 13,824.03 = 6,038.74 : x
  2. Step 2: Convert to fraction form
    10,019.08/13,824.03 = 6,038.74/x
  3. Step 3: Cross multiply
    10,019.08x = 13,824.03 × 6,038.74
  4. Step 4: Simplify right side
    10,019.08x = 83,479,722.92
  5. Step 5: Solve for x
    x = 83,479,722.92/10,019.08
  6. Step 6: Final answer
    x = 8,332.07

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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.