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Finding the Fourth Proportional to 11,301.86, 15,596.69 and 6,266.16

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Solution

The fourth proportional to 11,301.86, 15,596.69 and 6,266.16 is: 8,647.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,301.86 : 15,596.69 = 6,266.16 : x
  2. Step 2: Convert to fraction form
    11,301.86/15,596.69 = 6,266.16/x
  3. Step 3: Cross multiply
    11,301.86x = 15,596.69 × 6,266.16
  4. Step 4: Simplify right side
    11,301.86x = 97,731,323.68
  5. Step 5: Solve for x
    x = 97,731,323.68/11,301.86
  6. Step 6: Final answer
    x = 8,647.36

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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.