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Finding the Fourth Proportional to 10,730.77, 16,084.70 and 4,064.18

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Solution

The fourth proportional to 10,730.77, 16,084.70 and 4,064.18 is: 6,091.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.77 : 16,084.70 = 4,064.18 : x
  2. Step 2: Convert to fraction form
    10,730.77/16,084.70 = 4,064.18/x
  3. Step 3: Cross multiply
    10,730.77x = 16,084.70 × 4,064.18
  4. Step 4: Simplify right side
    10,730.77x = 65,371,041.97
  5. Step 5: Solve for x
    x = 65,371,041.97/10,730.77
  6. Step 6: Final answer
    x = 6,091.93

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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.