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Finding the Fourth Proportional to 10,617.15, 14,652.49 and 6,368.38

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Solution

The fourth proportional to 10,617.15, 14,652.49 and 6,368.38 is: 8,788.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617.15 : 14,652.49 = 6,368.38 : x
  2. Step 2: Convert to fraction form
    10,617.15/14,652.49 = 6,368.38/x
  3. Step 3: Cross multiply
    10,617.15x = 14,652.49 × 6,368.38
  4. Step 4: Simplify right side
    10,617.15x = 93,312,571.71
  5. Step 5: Solve for x
    x = 93,312,571.71/10,617.15
  6. Step 6: Final answer
    x = 8,788.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.