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Finding the Fourth Proportional to 7,769.34, 11,649.51 and 5,307.14

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Solution

The fourth proportional to 7,769.34, 11,649.51 and 5,307.14 is: 7,957.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.34 : 11,649.51 = 5,307.14 : x
  2. Step 2: Convert to fraction form
    7,769.34/11,649.51 = 5,307.14/x
  3. Step 3: Cross multiply
    7,769.34x = 11,649.51 × 5,307.14
  4. Step 4: Simplify right side
    7,769.34x = 61,825,522.25
  5. Step 5: Solve for x
    x = 61,825,522.25/7,769.34
  6. Step 6: Final answer
    x = 7,957.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.