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Finding the Fourth Proportional to 11,852.37, 16,354.13 and 7,658.19

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Solution

The fourth proportional to 11,852.37, 16,354.13 and 7,658.19 is: 10,566.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,852.37 : 16,354.13 = 7,658.19 : x
  2. Step 2: Convert to fraction form
    11,852.37/16,354.13 = 7,658.19/x
  3. Step 3: Cross multiply
    11,852.37x = 16,354.13 × 7,658.19
  4. Step 4: Simplify right side
    11,852.37x = 125,243,034.82
  5. Step 5: Solve for x
    x = 125,243,034.82/11,852.37
  6. Step 6: Final answer
    x = 10,566.92

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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.