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Finding the Fourth Proportional to 10,817.28, 14,926.08 and 6,567.84

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Solution

The fourth proportional to 10,817.28, 14,926.08 and 6,567.84 is: 9,062.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,817.28 : 14,926.08 = 6,567.84 : x
  2. Step 2: Convert to fraction form
    10,817.28/14,926.08 = 6,567.84/x
  3. Step 3: Cross multiply
    10,817.28x = 14,926.08 × 6,567.84
  4. Step 4: Simplify right side
    10,817.28x = 98,032,105.27
  5. Step 5: Solve for x
    x = 98,032,105.27/10,817.28
  6. Step 6: Final answer
    x = 9,062.55

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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.