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Finding the Fourth Proportional to 11,624.83, 16,042.32 and 6,319.63

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Solution

The fourth proportional to 11,624.83, 16,042.32 and 6,319.63 is: 8,721.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624.83 : 16,042.32 = 6,319.63 : x
  2. Step 2: Convert to fraction form
    11,624.83/16,042.32 = 6,319.63/x
  3. Step 3: Cross multiply
    11,624.83x = 16,042.32 × 6,319.63
  4. Step 4: Simplify right side
    11,624.83x = 101,381,526.74
  5. Step 5: Solve for x
    x = 101,381,526.74/11,624.83
  6. Step 6: Final answer
    x = 8,721.12

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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.