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Finding the Fourth Proportional to 11,277.67, 15,564.34 and 6,497.81

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Solution

The fourth proportional to 11,277.67, 15,564.34 and 6,497.81 is: 8,967.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,277.67 : 15,564.34 = 6,497.81 : x
  2. Step 2: Convert to fraction form
    11,277.67/15,564.34 = 6,497.81/x
  3. Step 3: Cross multiply
    11,277.67x = 15,564.34 × 6,497.81
  4. Step 4: Simplify right side
    11,277.67x = 101,134,030.03
  5. Step 5: Solve for x
    x = 101,134,030.03/11,277.67
  6. Step 6: Final answer
    x = 8,967.64

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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.