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Finding the Fourth Proportional to 10,333.86, 14,260.12 and 5,618.10

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Solution

The fourth proportional to 10,333.86, 14,260.12 and 5,618.10 is: 7,752.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,333.86 : 14,260.12 = 5,618.10 : x
  2. Step 2: Convert to fraction form
    10,333.86/14,260.12 = 5,618.10/x
  3. Step 3: Cross multiply
    10,333.86x = 14,260.12 × 5,618.10
  4. Step 4: Simplify right side
    10,333.86x = 80,114,680.78
  5. Step 5: Solve for x
    x = 80,114,680.78/10,333.86
  6. Step 6: Final answer
    x = 7,752.64

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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.