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Finding the Fourth Proportional to 7,640.94, 10,536.50 and 5,655.66

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Solution

The fourth proportional to 7,640.94, 10,536.50 and 5,655.66 is: 7,798.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.94 : 10,536.50 = 5,655.66 : x
  2. Step 2: Convert to fraction form
    7,640.94/10,536.50 = 5,655.66/x
  3. Step 3: Cross multiply
    7,640.94x = 10,536.50 × 5,655.66
  4. Step 4: Simplify right side
    7,640.94x = 59,590,861.59
  5. Step 5: Solve for x
    x = 59,590,861.59/7,640.94
  6. Step 6: Final answer
    x = 7,798.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.