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Finding the Fourth Proportional to 11,264.34, 15,543.42 and 6,228.24

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Solution

The fourth proportional to 11,264.34, 15,543.42 and 6,228.24 is: 8,594.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,264.34 : 15,543.42 = 6,228.24 : x
  2. Step 2: Convert to fraction form
    11,264.34/15,543.42 = 6,228.24/x
  3. Step 3: Cross multiply
    11,264.34x = 15,543.42 × 6,228.24
  4. Step 4: Simplify right side
    11,264.34x = 96,808,150.18
  5. Step 5: Solve for x
    x = 96,808,150.18/11,264.34
  6. Step 6: Final answer
    x = 8,594.21

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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.