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Finding the Fourth Proportional to 11,352.81, 15,666.92 and 6,384.81

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Solution

The fourth proportional to 11,352.81, 15,666.92 and 6,384.81 is: 8,811.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,352.81 : 15,666.92 = 6,384.81 : x
  2. Step 2: Convert to fraction form
    11,352.81/15,666.92 = 6,384.81/x
  3. Step 3: Cross multiply
    11,352.81x = 15,666.92 × 6,384.81
  4. Step 4: Simplify right side
    11,352.81x = 100,030,307.49
  5. Step 5: Solve for x
    x = 100,030,307.49/11,352.81
  6. Step 6: Final answer
    x = 8,811.06

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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.