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Finding the Fourth Proportional to 11,142.72, 15,384.96 and 8,363.52

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Solution

The fourth proportional to 11,142.72, 15,384.96 and 8,363.52 is: 11,547.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,142.72 : 15,384.96 = 8,363.52 : x
  2. Step 2: Convert to fraction form
    11,142.72/15,384.96 = 8,363.52/x
  3. Step 3: Cross multiply
    11,142.72x = 15,384.96 × 8,363.52
  4. Step 4: Simplify right side
    11,142.72x = 128,672,420.66
  5. Step 5: Solve for x
    x = 128,672,420.66/11,142.72
  6. Step 6: Final answer
    x = 11,547.67

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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.