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Finding the Fourth Proportional to 10,203.18, 14,081.86 and 5,666.90

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Solution

The fourth proportional to 10,203.18, 14,081.86 and 5,666.90 is: 7,821.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.18 : 14,081.86 = 5,666.90 : x
  2. Step 2: Convert to fraction form
    10,203.18/14,081.86 = 5,666.90/x
  3. Step 3: Cross multiply
    10,203.18x = 14,081.86 × 5,666.90
  4. Step 4: Simplify right side
    10,203.18x = 79,800,492.43
  5. Step 5: Solve for x
    x = 79,800,492.43/10,203.18
  6. Step 6: Final answer
    x = 7,821.14

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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.