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Finding the Fourth Proportional to 10,689.40, 16,033.74 and 4,841.92

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Solution

The fourth proportional to 10,689.40, 16,033.74 and 4,841.92 is: 7,262.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.40 : 16,033.74 = 4,841.92 : x
  2. Step 2: Convert to fraction form
    10,689.40/16,033.74 = 4,841.92/x
  3. Step 3: Cross multiply
    10,689.40x = 16,033.74 × 4,841.92
  4. Step 4: Simplify right side
    10,689.40x = 77,634,086.38
  5. Step 5: Solve for x
    x = 77,634,086.38/10,689.40
  6. Step 6: Final answer
    x = 7,262.72

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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.