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Finding the Fourth Proportional to 11,648.76, 16,074.74 and 6,612.31

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Solution

The fourth proportional to 11,648.76, 16,074.74 and 6,612.31 is: 9,124.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.76 : 16,074.74 = 6,612.31 : x
  2. Step 2: Convert to fraction form
    11,648.76/16,074.74 = 6,612.31/x
  3. Step 3: Cross multiply
    11,648.76x = 16,074.74 × 6,612.31
  4. Step 4: Simplify right side
    11,648.76x = 106,291,130.99
  5. Step 5: Solve for x
    x = 106,291,130.99/11,648.76
  6. Step 6: Final answer
    x = 9,124.68

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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.