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Finding the Fourth Proportional to 7,700.34, 11,548.74 and 2,154.08

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Solution

The fourth proportional to 7,700.34, 11,548.74 and 2,154.08 is: 3,230.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.34 : 11,548.74 = 2,154.08 : x
  2. Step 2: Convert to fraction form
    7,700.34/11,548.74 = 2,154.08/x
  3. Step 3: Cross multiply
    7,700.34x = 11,548.74 × 2,154.08
  4. Step 4: Simplify right side
    7,700.34x = 24,876,852.12
  5. Step 5: Solve for x
    x = 24,876,852.12/7,700.34
  6. Step 6: Final answer
    x = 3,230.62

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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.