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Finding the Fourth Proportional to 10,281.67, 15,424.93 and 3,262

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Solution

The fourth proportional to 10,281.67, 15,424.93 and 3,262 is: 4,893.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281.67 : 15,424.93 = 3,262 : x
  2. Step 2: Convert to fraction form
    10,281.67/15,424.93 = 3,262/x
  3. Step 3: Cross multiply
    10,281.67x = 15,424.93 × 3,262
  4. Step 4: Simplify right side
    10,281.67x = 50,316,121.66
  5. Step 5: Solve for x
    x = 50,316,121.66/10,281.67
  6. Step 6: Final answer
    x = 4,893.77

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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.