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Finding the Fourth Proportional to 11,710.49, 16,159.77 and 6,674.66

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Solution

The fourth proportional to 11,710.49, 16,159.77 and 6,674.66 is: 9,210.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.49 : 16,159.77 = 6,674.66 : x
  2. Step 2: Convert to fraction form
    11,710.49/16,159.77 = 6,674.66/x
  3. Step 3: Cross multiply
    11,710.49x = 16,159.77 × 6,674.66
  4. Step 4: Simplify right side
    11,710.49x = 107,860,889.63
  5. Step 5: Solve for x
    x = 107,860,889.63/11,710.49
  6. Step 6: Final answer
    x = 9,210.63

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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.