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Finding the Fourth Proportional to 6,853.66, 10,281.14 and 1,923.28

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Solution

The fourth proportional to 6,853.66, 10,281.14 and 1,923.28 is: 2,885.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.66 : 10,281.14 = 1,923.28 : x
  2. Step 2: Convert to fraction form
    6,853.66/10,281.14 = 1,923.28/x
  3. Step 3: Cross multiply
    6,853.66x = 10,281.14 × 1,923.28
  4. Step 4: Simplify right side
    6,853.66x = 19,773,475.62
  5. Step 5: Solve for x
    x = 19,773,475.62/6,853.66
  6. Step 6: Final answer
    x = 2,885.10

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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.