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Finding the Fourth Proportional to 11,852.24, 16,353.95 and 7,658.06

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Solution

The fourth proportional to 11,852.24, 16,353.95 and 7,658.06 is: 10,566.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,852.24 : 16,353.95 = 7,658.06 : x
  2. Step 2: Convert to fraction form
    11,852.24/16,353.95 = 7,658.06/x
  3. Step 3: Cross multiply
    11,852.24x = 16,353.95 × 7,658.06
  4. Step 4: Simplify right side
    11,852.24x = 125,239,590.37
  5. Step 5: Solve for x
    x = 125,239,590.37/11,852.24
  6. Step 6: Final answer
    x = 10,566.74

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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.