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Finding the Fourth Proportional to 10,262.94, 15,380.98 and 4,636.42

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Solution

The fourth proportional to 10,262.94, 15,380.98 and 4,636.42 is: 6,948.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,262.94 : 15,380.98 = 4,636.42 : x
  2. Step 2: Convert to fraction form
    10,262.94/15,380.98 = 4,636.42/x
  3. Step 3: Cross multiply
    10,262.94x = 15,380.98 × 4,636.42
  4. Step 4: Simplify right side
    10,262.94x = 71,312,683.29
  5. Step 5: Solve for x
    x = 71,312,683.29/10,262.94
  6. Step 6: Final answer
    x = 6,948.56

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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.