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Finding the Fourth Proportional to 7,289.46, 10,048.42 and 5,271.95

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Solution

The fourth proportional to 7,289.46, 10,048.42 and 5,271.95 is: 7,267.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,289.46 : 10,048.42 = 5,271.95 : x
  2. Step 2: Convert to fraction form
    7,289.46/10,048.42 = 5,271.95/x
  3. Step 3: Cross multiply
    7,289.46x = 10,048.42 × 5,271.95
  4. Step 4: Simplify right side
    7,289.46x = 52,974,799.53
  5. Step 5: Solve for x
    x = 52,974,799.53/7,289.46
  6. Step 6: Final answer
    x = 7,267.31

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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.