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Finding the Fourth Proportional to 8,468.00, 11,686.02 and 5,068.53

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Solution

The fourth proportional to 8,468.00, 11,686.02 and 5,068.53 is: 6,994.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468.00 : 11,686.02 = 5,068.53 : x
  2. Step 2: Convert to fraction form
    8,468.00/11,686.02 = 5,068.53/x
  3. Step 3: Cross multiply
    8,468.00x = 11,686.02 × 5,068.53
  4. Step 4: Simplify right side
    8,468.00x = 59,230,942.95
  5. Step 5: Solve for x
    x = 59,230,942.95/8,468.00
  6. Step 6: Final answer
    x = 6,994.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.