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Finding the Fourth Proportional to 11,865.40, 17,792.70 and 6,317.32

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Solution

The fourth proportional to 11,865.40, 17,792.70 and 6,317.32 is: 9,473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,865.40 : 17,792.70 = 6,317.32 : x
  2. Step 2: Convert to fraction form
    11,865.40/17,792.70 = 6,317.32/x
  3. Step 3: Cross multiply
    11,865.40x = 17,792.70 × 6,317.32
  4. Step 4: Simplify right side
    11,865.40x = 112,402,179.56
  5. Step 5: Solve for x
    x = 112,402,179.56/11,865.40
  6. Step 6: Final answer
    x = 9,473.10

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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.