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Finding the Fourth Proportional to 10,940.97, 16,416.86 and 4,699.20

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Solution

The fourth proportional to 10,940.97, 16,416.86 and 4,699.20 is: 7,051.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,940.97 : 16,416.86 = 4,699.20 : x
  2. Step 2: Convert to fraction form
    10,940.97/16,416.86 = 4,699.20/x
  3. Step 3: Cross multiply
    10,940.97x = 16,416.86 × 4,699.20
  4. Step 4: Simplify right side
    10,940.97x = 77,146,085.02
  5. Step 5: Solve for x
    x = 77,146,085.02/10,940.97
  6. Step 6: Final answer
    x = 7,051.12

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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.