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Finding the Fourth Proportional to 8,534.48, 11,772.84 and 4,997

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Solution

The fourth proportional to 8,534.48, 11,772.84 and 4,997 is: 6,893.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.48 : 11,772.84 = 4,997 : x
  2. Step 2: Convert to fraction form
    8,534.48/11,772.84 = 4,997/x
  3. Step 3: Cross multiply
    8,534.48x = 11,772.84 × 4,997
  4. Step 4: Simplify right side
    8,534.48x = 58,828,881.48
  5. Step 5: Solve for x
    x = 58,828,881.48/8,534.48
  6. Step 6: Final answer
    x = 6,893.08

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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.