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Finding the Fourth Proportional to 11,624.63, 16,041.93 and 6,319.45

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Solution

The fourth proportional to 11,624.63, 16,041.93 and 6,319.45 is: 8,720.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624.63 : 16,041.93 = 6,319.45 : x
  2. Step 2: Convert to fraction form
    11,624.63/16,041.93 = 6,319.45/x
  3. Step 3: Cross multiply
    11,624.63x = 16,041.93 × 6,319.45
  4. Step 4: Simplify right side
    11,624.63x = 101,376,094.33
  5. Step 5: Solve for x
    x = 101,376,094.33/11,624.63
  6. Step 6: Final answer
    x = 8,720.80

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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.