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Finding the Fourth Proportional to 8,468.03, 12,700 and 3,535.00

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Solution

The fourth proportional to 8,468.03, 12,700 and 3,535.00 is: 5,301.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468.03 : 12,700 = 3,535.00 : x
  2. Step 2: Convert to fraction form
    8,468.03/12,700 = 3,535.00/x
  3. Step 3: Cross multiply
    8,468.03x = 12,700 × 3,535.00
  4. Step 4: Simplify right side
    8,468.03x = 44,894,436.50
  5. Step 5: Solve for x
    x = 44,894,436.50/8,468.03
  6. Step 6: Final answer
    x = 5,301.64

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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.