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Finding the Fourth Proportional to 7,127.16, 10,692.89 and 5,051.17

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Solution

The fourth proportional to 7,127.16, 10,692.89 and 5,051.17 is: 7,578.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,127.16 : 10,692.89 = 5,051.17 : x
  2. Step 2: Convert to fraction form
    7,127.16/10,692.89 = 5,051.17/x
  3. Step 3: Cross multiply
    7,127.16x = 10,692.89 × 5,051.17
  4. Step 4: Simplify right side
    7,127.16x = 54,011,605.18
  5. Step 5: Solve for x
    x = 54,011,605.18/7,127.16
  6. Step 6: Final answer
    x = 7,578.28

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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.