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Finding the Fourth Proportional to 8,677.04, 13,008.36 and 4,982

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Solution

The fourth proportional to 8,677.04, 13,008.36 and 4,982 is: 7,468.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,677.04 : 13,008.36 = 4,982 : x
  2. Step 2: Convert to fraction form
    8,677.04/13,008.36 = 4,982/x
  3. Step 3: Cross multiply
    8,677.04x = 13,008.36 × 4,982
  4. Step 4: Simplify right side
    8,677.04x = 64,807,649.52
  5. Step 5: Solve for x
    x = 64,807,649.52/8,677.04
  6. Step 6: Final answer
    x = 7,468.87

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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.