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Finding the Fourth Proportional to 11,610.02, 16,022.10 and 6,894.32

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Solution

The fourth proportional to 11,610.02, 16,022.10 and 6,894.32 is: 9,514.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610.02 : 16,022.10 = 6,894.32 : x
  2. Step 2: Convert to fraction form
    11,610.02/16,022.10 = 6,894.32/x
  3. Step 3: Cross multiply
    11,610.02x = 16,022.10 × 6,894.32
  4. Step 4: Simplify right side
    11,610.02x = 110,461,484.47
  5. Step 5: Solve for x
    x = 110,461,484.47/11,610.02
  6. Step 6: Final answer
    x = 9,514.32

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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.