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Finding the Fourth Proportional to 10,283.54, 14,191.11 and 5,567.76

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Solution

The fourth proportional to 10,283.54, 14,191.11 and 5,567.76 is: 7,683.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283.54 : 14,191.11 = 5,567.76 : x
  2. Step 2: Convert to fraction form
    10,283.54/14,191.11 = 5,567.76/x
  3. Step 3: Cross multiply
    10,283.54x = 14,191.11 × 5,567.76
  4. Step 4: Simplify right side
    10,283.54x = 79,012,694.61
  5. Step 5: Solve for x
    x = 79,012,694.61/10,283.54
  6. Step 6: Final answer
    x = 7,683.42

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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.