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Finding the Fourth Proportional to 11,296, 15,588.45 and 6,260.23

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Solution

The fourth proportional to 11,296, 15,588.45 and 6,260.23 is: 8,639.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,296 : 15,588.45 = 6,260.23 : x
  2. Step 2: Convert to fraction form
    11,296/15,588.45 = 6,260.23/x
  3. Step 3: Cross multiply
    11,296x = 15,588.45 × 6,260.23
  4. Step 4: Simplify right side
    11,296x = 97,587,282.34
  5. Step 5: Solve for x
    x = 97,587,282.34/11,296
  6. Step 6: Final answer
    x = 8,639.10

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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.