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Finding the Fourth Proportional to 7,033.04, 10,548.00 and 2,102.04

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Solution

The fourth proportional to 7,033.04, 10,548.00 and 2,102.04 is: 3,152.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033.04 : 10,548.00 = 2,102.04 : x
  2. Step 2: Convert to fraction form
    7,033.04/10,548.00 = 2,102.04/x
  3. Step 3: Cross multiply
    7,033.04x = 10,548.00 × 2,102.04
  4. Step 4: Simplify right side
    7,033.04x = 22,172,341.67
  5. Step 5: Solve for x
    x = 22,172,341.67/7,033.04
  6. Step 6: Final answer
    x = 3,152.60

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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.