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Finding the Fourth Proportional to 11,641.86, 16,064.91 and 6,925.26

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Solution

The fourth proportional to 11,641.86, 16,064.91 and 6,925.26 is: 9,556.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.86 : 16,064.91 = 6,925.26 : x
  2. Step 2: Convert to fraction form
    11,641.86/16,064.91 = 6,925.26/x
  3. Step 3: Cross multiply
    11,641.86x = 16,064.91 × 6,925.26
  4. Step 4: Simplify right side
    11,641.86x = 111,253,678.63
  5. Step 5: Solve for x
    x = 111,253,678.63/11,641.86
  6. Step 6: Final answer
    x = 9,556.35

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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.