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Finding the Fourth Proportional to 11,631, 16,050.78 and 6,595.32

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Solution

The fourth proportional to 11,631, 16,050.78 and 6,595.32 is: 9,101.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,631 : 16,050.78 = 6,595.32 : x
  2. Step 2: Convert to fraction form
    11,631/16,050.78 = 6,595.32/x
  3. Step 3: Cross multiply
    11,631x = 16,050.78 × 6,595.32
  4. Step 4: Simplify right side
    11,631x = 105,860,030.35
  5. Step 5: Solve for x
    x = 105,860,030.35/11,631
  6. Step 6: Final answer
    x = 9,101.54

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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.