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Finding the Fourth Proportional to 8,705.71, 13,041.13 and 4,019.38

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Solution

The fourth proportional to 8,705.71, 13,041.13 and 4,019.38 is: 6,021.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,705.71 : 13,041.13 = 4,019.38 : x
  2. Step 2: Convert to fraction form
    8,705.71/13,041.13 = 4,019.38/x
  3. Step 3: Cross multiply
    8,705.71x = 13,041.13 × 4,019.38
  4. Step 4: Simplify right side
    8,705.71x = 52,417,257.10
  5. Step 5: Solve for x
    x = 52,417,257.10/8,705.71
  6. Step 6: Final answer
    x = 6,021.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.