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Finding the Fourth Proportional to 11,710.02, 16,159.26 and 6,674.46

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Solution

The fourth proportional to 11,710.02, 16,159.26 and 6,674.46 is: 9,210.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.02 : 16,159.26 = 6,674.46 : x
  2. Step 2: Convert to fraction form
    11,710.02/16,159.26 = 6,674.46/x
  3. Step 3: Cross multiply
    11,710.02x = 16,159.26 × 6,674.46
  4. Step 4: Simplify right side
    11,710.02x = 107,854,334.50
  5. Step 5: Solve for x
    x = 107,854,334.50/11,710.02
  6. Step 6: Final answer
    x = 9,210.43

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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.