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Finding the Fourth Proportional to 11,621.84, 16,038.14 and 6,316.65

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Solution

The fourth proportional to 11,621.84, 16,038.14 and 6,316.65 is: 8,716.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,621.84 : 16,038.14 = 6,316.65 : x
  2. Step 2: Convert to fraction form
    11,621.84/16,038.14 = 6,316.65/x
  3. Step 3: Cross multiply
    11,621.84x = 16,038.14 × 6,316.65
  4. Step 4: Simplify right side
    11,621.84x = 101,307,285.45
  5. Step 5: Solve for x
    x = 101,307,285.45/11,621.84
  6. Step 6: Final answer
    x = 8,716.98

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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.