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Finding the Fourth Proportional to 11,710.72, 16,159.20 and 6,994

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Solution

The fourth proportional to 11,710.72, 16,159.20 and 6,994 is: 9,650.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.72 : 16,159.20 = 6,994 : x
  2. Step 2: Convert to fraction form
    11,710.72/16,159.20 = 6,994/x
  3. Step 3: Cross multiply
    11,710.72x = 16,159.20 × 6,994
  4. Step 4: Simplify right side
    11,710.72x = 113,017,444.80
  5. Step 5: Solve for x
    x = 113,017,444.80/11,710.72
  6. Step 6: Final answer
    x = 9,650.77

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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.