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Finding the Fourth Proportional to 10,387.51, 14,335.98 and 5,850.33

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Solution

The fourth proportional to 10,387.51, 14,335.98 and 5,850.33 is: 8,074.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,387.51 : 14,335.98 = 5,850.33 : x
  2. Step 2: Convert to fraction form
    10,387.51/14,335.98 = 5,850.33/x
  3. Step 3: Cross multiply
    10,387.51x = 14,335.98 × 5,850.33
  4. Step 4: Simplify right side
    10,387.51x = 83,870,213.87
  5. Step 5: Solve for x
    x = 83,870,213.87/10,387.51
  6. Step 6: Final answer
    x = 8,074.14

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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.