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Finding the Fourth Proportional to 11,643.60, 17,465.40 and 6,722.85

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Solution

The fourth proportional to 11,643.60, 17,465.40 and 6,722.85 is: 10,084.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.60 : 17,465.40 = 6,722.85 : x
  2. Step 2: Convert to fraction form
    11,643.60/17,465.40 = 6,722.85/x
  3. Step 3: Cross multiply
    11,643.60x = 17,465.40 × 6,722.85
  4. Step 4: Simplify right side
    11,643.60x = 117,417,264.39
  5. Step 5: Solve for x
    x = 117,417,264.39/11,643.60
  6. Step 6: Final answer
    x = 10,084.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.