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Finding the Fourth Proportional to 10,446.99, 15,671.95 and 3,052

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Solution

The fourth proportional to 10,446.99, 15,671.95 and 3,052 is: 4,578.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.99 : 15,671.95 = 3,052 : x
  2. Step 2: Convert to fraction form
    10,446.99/15,671.95 = 3,052/x
  3. Step 3: Cross multiply
    10,446.99x = 15,671.95 × 3,052
  4. Step 4: Simplify right side
    10,446.99x = 47,830,791.40
  5. Step 5: Solve for x
    x = 47,830,791.40/10,446.99
  6. Step 6: Final answer
    x = 4,578.43

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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.