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Finding the Fourth Proportional to 10,815.60, 16,223.40 and 3,420.63

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Solution

The fourth proportional to 10,815.60, 16,223.40 and 3,420.63 is: 5,130.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,815.60 : 16,223.40 = 3,420.63 : x
  2. Step 2: Convert to fraction form
    10,815.60/16,223.40 = 3,420.63/x
  3. Step 3: Cross multiply
    10,815.60x = 16,223.40 × 3,420.63
  4. Step 4: Simplify right side
    10,815.60x = 55,494,248.74
  5. Step 5: Solve for x
    x = 55,494,248.74/10,815.60
  6. Step 6: Final answer
    x = 5,130.95

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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.