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Finding the Fourth Proportional to 7,700.78, 11,549.40 and 2,154.51

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Solution

The fourth proportional to 7,700.78, 11,549.40 and 2,154.51 is: 3,231.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.78 : 11,549.40 = 2,154.51 : x
  2. Step 2: Convert to fraction form
    7,700.78/11,549.40 = 2,154.51/x
  3. Step 3: Cross multiply
    7,700.78x = 11,549.40 × 2,154.51
  4. Step 4: Simplify right side
    7,700.78x = 24,883,322.20
  5. Step 5: Solve for x
    x = 24,883,322.20/7,700.78
  6. Step 6: Final answer
    x = 3,231.27

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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.