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Finding the Fourth Proportional to 11,784.86, 16,254.62 and 8,001.46

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Solution

The fourth proportional to 11,784.86, 16,254.62 and 8,001.46 is: 11,036.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,784.86 : 16,254.62 = 8,001.46 : x
  2. Step 2: Convert to fraction form
    11,784.86/16,254.62 = 8,001.46/x
  3. Step 3: Cross multiply
    11,784.86x = 16,254.62 × 8,001.46
  4. Step 4: Simplify right side
    11,784.86x = 130,060,647.11
  5. Step 5: Solve for x
    x = 130,060,647.11/11,784.86
  6. Step 6: Final answer
    x = 11,036.25

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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.