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Finding the Fourth Proportional to 11,624.18, 16,041.65 and 6,319.29

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Solution

The fourth proportional to 11,624.18, 16,041.65 and 6,319.29 is: 8,720.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624.18 : 16,041.65 = 6,319.29 : x
  2. Step 2: Convert to fraction form
    11,624.18/16,041.65 = 6,319.29/x
  3. Step 3: Cross multiply
    11,624.18x = 16,041.65 × 6,319.29
  4. Step 4: Simplify right side
    11,624.18x = 101,371,838.43
  5. Step 5: Solve for x
    x = 101,371,838.43/11,624.18
  6. Step 6: Final answer
    x = 8,720.77

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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.