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Finding the Fourth Proportional to 7,284.84, 10,926.52 and 4,361

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Solution

The fourth proportional to 7,284.84, 10,926.52 and 4,361 is: 6,541.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.84 : 10,926.52 = 4,361 : x
  2. Step 2: Convert to fraction form
    7,284.84/10,926.52 = 4,361/x
  3. Step 3: Cross multiply
    7,284.84x = 10,926.52 × 4,361
  4. Step 4: Simplify right side
    7,284.84x = 47,650,553.72
  5. Step 5: Solve for x
    x = 47,650,553.72/7,284.84
  6. Step 6: Final answer
    x = 6,541.06

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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.