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Finding the Fourth Proportional to 7,264.49, 10,020.71 and 5,137.63

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Solution

The fourth proportional to 7,264.49, 10,020.71 and 5,137.63 is: 7,086.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,264.49 : 10,020.71 = 5,137.63 : x
  2. Step 2: Convert to fraction form
    7,264.49/10,020.71 = 5,137.63/x
  3. Step 3: Cross multiply
    7,264.49x = 10,020.71 × 5,137.63
  4. Step 4: Simplify right side
    7,264.49x = 51,482,688.11
  5. Step 5: Solve for x
    x = 51,482,688.11/7,264.49
  6. Step 6: Final answer
    x = 7,086.90

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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.