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Finding the Fourth Proportional to 7,868.49, 11,803.14 and 2,532.10

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Solution

The fourth proportional to 7,868.49, 11,803.14 and 2,532.10 is: 3,798.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868.49 : 11,803.14 = 2,532.10 : x
  2. Step 2: Convert to fraction form
    7,868.49/11,803.14 = 2,532.10/x
  3. Step 3: Cross multiply
    7,868.49x = 11,803.14 × 2,532.10
  4. Step 4: Simplify right side
    7,868.49x = 29,886,730.79
  5. Step 5: Solve for x
    x = 29,886,730.79/7,868.49
  6. Step 6: Final answer
    x = 3,798.28

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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.