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Finding the Fourth Proportional to 8,402.09, 12,603.40 and 4,506.50

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Solution

The fourth proportional to 8,402.09, 12,603.40 and 4,506.50 is: 6,759.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.09 : 12,603.40 = 4,506.50 : x
  2. Step 2: Convert to fraction form
    8,402.09/12,603.40 = 4,506.50/x
  3. Step 3: Cross multiply
    8,402.09x = 12,603.40 × 4,506.50
  4. Step 4: Simplify right side
    8,402.09x = 56,797,242.34
  5. Step 5: Solve for x
    x = 56,797,242.34/8,402.09
  6. Step 6: Final answer
    x = 6,759.90

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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.