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Finding the Fourth Proportional to 11,703.70, 16,153.32 and 6,990.58

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Solution

The fourth proportional to 11,703.70, 16,153.32 and 6,990.58 is: 9,648.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,703.70 : 16,153.32 = 6,990.58 : x
  2. Step 2: Convert to fraction form
    11,703.70/16,153.32 = 6,990.58/x
  3. Step 3: Cross multiply
    11,703.70x = 16,153.32 × 6,990.58
  4. Step 4: Simplify right side
    11,703.70x = 112,921,075.73
  5. Step 5: Solve for x
    x = 112,921,075.73/11,703.70
  6. Step 6: Final answer
    x = 9,648.32

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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.