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Finding the Fourth Proportional to 7,000.52, 10,502.16 and 2,002.94

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Solution

The fourth proportional to 7,000.52, 10,502.16 and 2,002.94 is: 3,004.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.52 : 10,502.16 = 2,002.94 : x
  2. Step 2: Convert to fraction form
    7,000.52/10,502.16 = 2,002.94/x
  3. Step 3: Cross multiply
    7,000.52x = 10,502.16 × 2,002.94
  4. Step 4: Simplify right side
    7,000.52x = 21,035,196.35
  5. Step 5: Solve for x
    x = 21,035,196.35/7,000.52
  6. Step 6: Final answer
    x = 3,004.80

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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.