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Finding the Fourth Proportional to 10,203.84, 14,081.99 and 5,666.76

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Solution

The fourth proportional to 10,203.84, 14,081.99 and 5,666.76 is: 7,820.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.84 : 14,081.99 = 5,666.76 : x
  2. Step 2: Convert to fraction form
    10,203.84/14,081.99 = 5,666.76/x
  3. Step 3: Cross multiply
    10,203.84x = 14,081.99 × 5,666.76
  4. Step 4: Simplify right side
    10,203.84x = 79,799,229.32
  5. Step 5: Solve for x
    x = 79,799,229.32/10,203.84
  6. Step 6: Final answer
    x = 7,820.51

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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.