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Finding the Fourth Proportional to 8,468.82, 11,686.90 and 5,068.14

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Solution

The fourth proportional to 8,468.82, 11,686.90 and 5,068.14 is: 6,994.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468.82 : 11,686.90 = 5,068.14 : x
  2. Step 2: Convert to fraction form
    8,468.82/11,686.90 = 5,068.14/x
  3. Step 3: Cross multiply
    8,468.82x = 11,686.90 × 5,068.14
  4. Step 4: Simplify right side
    8,468.82x = 59,230,875.60
  5. Step 5: Solve for x
    x = 59,230,875.60/8,468.82
  6. Step 6: Final answer
    x = 6,994.00

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