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Finding the Fourth Proportional to 8,156.40, 11,261.24 and 6,264.60

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Solution

The fourth proportional to 8,156.40, 11,261.24 and 6,264.60 is: 8,649.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.40 : 11,261.24 = 6,264.60 : x
  2. Step 2: Convert to fraction form
    8,156.40/11,261.24 = 6,264.60/x
  3. Step 3: Cross multiply
    8,156.40x = 11,261.24 × 6,264.60
  4. Step 4: Simplify right side
    8,156.40x = 70,547,149.28
  5. Step 5: Solve for x
    x = 70,547,149.28/8,156.40
  6. Step 6: Final answer
    x = 8,649.30

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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.