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Finding the Fourth Proportional to 11,871.60, 16,377.66 and 7,153.20

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Solution

The fourth proportional to 11,871.60, 16,377.66 and 7,153.20 is: 9,868.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.60 : 16,377.66 = 7,153.20 : x
  2. Step 2: Convert to fraction form
    11,871.60/16,377.66 = 7,153.20/x
  3. Step 3: Cross multiply
    11,871.60x = 16,377.66 × 7,153.20
  4. Step 4: Simplify right side
    11,871.60x = 117,152,677.51
  5. Step 5: Solve for x
    x = 117,152,677.51/11,871.60
  6. Step 6: Final answer
    x = 9,868.31

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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.