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Finding the Fourth Proportional to 11,147.81, 15,384.27 and 6,302.15

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Solution

The fourth proportional to 11,147.81, 15,384.27 and 6,302.15 is: 8,697.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,147.81 : 15,384.27 = 6,302.15 : x
  2. Step 2: Convert to fraction form
    11,147.81/15,384.27 = 6,302.15/x
  3. Step 3: Cross multiply
    11,147.81x = 15,384.27 × 6,302.15
  4. Step 4: Simplify right side
    11,147.81x = 96,953,961.43
  5. Step 5: Solve for x
    x = 96,953,961.43/11,147.81
  6. Step 6: Final answer
    x = 8,697.13

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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.