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Finding the Fourth Proportional to 11,364.16, 15,683.52 and 6,396.16

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Solution

The fourth proportional to 11,364.16, 15,683.52 and 6,396.16 is: 8,827.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,364.16 : 15,683.52 = 6,396.16 : x
  2. Step 2: Convert to fraction form
    11,364.16/15,683.52 = 6,396.16/x
  3. Step 3: Cross multiply
    11,364.16x = 15,683.52 × 6,396.16
  4. Step 4: Simplify right side
    11,364.16x = 100,314,303.28
  5. Step 5: Solve for x
    x = 100,314,303.28/11,364.16
  6. Step 6: Final answer
    x = 8,827.25

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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.