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Finding the Fourth Proportional to 6,748.94, 10,123.47 and 2,366.50

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Solution

The fourth proportional to 6,748.94, 10,123.47 and 2,366.50 is: 3,549.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,748.94 : 10,123.47 = 2,366.50 : x
  2. Step 2: Convert to fraction form
    6,748.94/10,123.47 = 2,366.50/x
  3. Step 3: Cross multiply
    6,748.94x = 10,123.47 × 2,366.50
  4. Step 4: Simplify right side
    6,748.94x = 23,957,166.45
  5. Step 5: Solve for x
    x = 23,957,166.45/6,748.94
  6. Step 6: Final answer
    x = 3,549.77

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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.