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Finding the Fourth Proportional to 11,347.94, 15,657.80 and 6,871.98

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Solution

The fourth proportional to 11,347.94, 15,657.80 and 6,871.98 is: 9,481.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,347.94 : 15,657.80 = 6,871.98 : x
  2. Step 2: Convert to fraction form
    11,347.94/15,657.80 = 6,871.98/x
  3. Step 3: Cross multiply
    11,347.94x = 15,657.80 × 6,871.98
  4. Step 4: Simplify right side
    11,347.94x = 107,600,088.44
  5. Step 5: Solve for x
    x = 107,600,088.44/11,347.94
  6. Step 6: Final answer
    x = 9,481.90

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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.