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Finding the Fourth Proportional to 7,564.89, 11,397.76 and 6,967.11

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Solution

The fourth proportional to 7,564.89, 11,397.76 and 6,967.11 is: 10,497.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.89 : 11,397.76 = 6,967.11 : x
  2. Step 2: Convert to fraction form
    7,564.89/11,397.76 = 6,967.11/x
  3. Step 3: Cross multiply
    7,564.89x = 11,397.76 × 6,967.11
  4. Step 4: Simplify right side
    7,564.89x = 79,409,512.19
  5. Step 5: Solve for x
    x = 79,409,512.19/7,564.89
  6. Step 6: Final answer
    x = 10,497.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.