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Finding the Fourth Proportional to 7,656.14, 11,476.10 and 4,362.17

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Solution

The fourth proportional to 7,656.14, 11,476.10 and 4,362.17 is: 6,538.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.14 : 11,476.10 = 4,362.17 : x
  2. Step 2: Convert to fraction form
    7,656.14/11,476.10 = 4,362.17/x
  3. Step 3: Cross multiply
    7,656.14x = 11,476.10 × 4,362.17
  4. Step 4: Simplify right side
    7,656.14x = 50,060,692.68
  5. Step 5: Solve for x
    x = 50,060,692.68/7,656.14
  6. Step 6: Final answer
    x = 6,538.64

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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.