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Finding the Fourth Proportional to 7,699.69, 11,549.45 and 2,434.70

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Solution

The fourth proportional to 7,699.69, 11,549.45 and 2,434.70 is: 3,652.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.69 : 11,549.45 = 2,434.70 : x
  2. Step 2: Convert to fraction form
    7,699.69/11,549.45 = 2,434.70/x
  3. Step 3: Cross multiply
    7,699.69x = 11,549.45 × 2,434.70
  4. Step 4: Simplify right side
    7,699.69x = 28,119,394.25
  5. Step 5: Solve for x
    x = 28,119,394.25/7,699.69
  6. Step 6: Final answer
    x = 3,652.02

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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.