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Finding the Fourth Proportional to 10,772.80, 16,068.52 and 10,444.80

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Solution

The fourth proportional to 10,772.80, 16,068.52 and 10,444.80 is: 15,579.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.80 : 16,068.52 = 10,444.80 : x
  2. Step 2: Convert to fraction form
    10,772.80/16,068.52 = 10,444.80/x
  3. Step 3: Cross multiply
    10,772.80x = 16,068.52 × 10,444.80
  4. Step 4: Simplify right side
    10,772.80x = 167,832,477.70
  5. Step 5: Solve for x
    x = 167,832,477.70/10,772.80
  6. Step 6: Final answer
    x = 15,579.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.