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Finding the Fourth Proportional to 7,734.34, 11,602.79 and 2,539

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Solution

The fourth proportional to 7,734.34, 11,602.79 and 2,539 is: 3,808.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.34 : 11,602.79 = 2,539 : x
  2. Step 2: Convert to fraction form
    7,734.34/11,602.79 = 2,539/x
  3. Step 3: Cross multiply
    7,734.34x = 11,602.79 × 2,539
  4. Step 4: Simplify right side
    7,734.34x = 29,459,483.81
  5. Step 5: Solve for x
    x = 29,459,483.81/7,734.34
  6. Step 6: Final answer
    x = 3,808.92

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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.