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Finding the Fourth Proportional to 7,024.68, 10,533.50 and 2,343.08

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Solution

The fourth proportional to 7,024.68, 10,533.50 and 2,343.08 is: 3,513.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.68 : 10,533.50 = 2,343.08 : x
  2. Step 2: Convert to fraction form
    7,024.68/10,533.50 = 2,343.08/x
  3. Step 3: Cross multiply
    7,024.68x = 10,533.50 × 2,343.08
  4. Step 4: Simplify right side
    7,024.68x = 24,680,865.37
  5. Step 5: Solve for x
    x = 24,680,865.37/7,024.68
  6. Step 6: Final answer
    x = 3,513.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.