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Finding the Fourth Proportional to 7,156.14, 10,706.49 and 5,583.90

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Solution

The fourth proportional to 7,156.14, 10,706.49 and 5,583.90 is: 8,354.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.14 : 10,706.49 = 5,583.90 : x
  2. Step 2: Convert to fraction form
    7,156.14/10,706.49 = 5,583.90/x
  3. Step 3: Cross multiply
    7,156.14x = 10,706.49 × 5,583.90
  4. Step 4: Simplify right side
    7,156.14x = 59,783,969.51
  5. Step 5: Solve for x
    x = 59,783,969.51/7,156.14
  6. Step 6: Final answer
    x = 8,354.22

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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.