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Finding the Fourth Proportional to 6,816.75, 10,225.13 and 1,886.77

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Solution

The fourth proportional to 6,816.75, 10,225.13 and 1,886.77 is: 2,830.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.75 : 10,225.13 = 1,886.77 : x
  2. Step 2: Convert to fraction form
    6,816.75/10,225.13 = 1,886.77/x
  3. Step 3: Cross multiply
    6,816.75x = 10,225.13 × 1,886.77
  4. Step 4: Simplify right side
    6,816.75x = 19,292,468.53
  5. Step 5: Solve for x
    x = 19,292,468.53/6,816.75
  6. Step 6: Final answer
    x = 2,830.16

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