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Finding the Fourth Proportional to 11,710.86, 16,160.79 and 6,405.63

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Solution

The fourth proportional to 11,710.86, 16,160.79 and 6,405.63 is: 8,839.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.86 : 16,160.79 = 6,405.63 : x
  2. Step 2: Convert to fraction form
    11,710.86/16,160.79 = 6,405.63/x
  3. Step 3: Cross multiply
    11,710.86x = 16,160.79 × 6,405.63
  4. Step 4: Simplify right side
    11,710.86x = 103,520,041.25
  5. Step 5: Solve for x
    x = 103,520,041.25/11,710.86
  6. Step 6: Final answer
    x = 8,839.66

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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.