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Finding the Fourth Proportional to 10,873.64, 16,285.68 and 6,482.03

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Solution

The fourth proportional to 10,873.64, 16,285.68 and 6,482.03 is: 9,708.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,873.64 : 16,285.68 = 6,482.03 : x
  2. Step 2: Convert to fraction form
    10,873.64/16,285.68 = 6,482.03/x
  3. Step 3: Cross multiply
    10,873.64x = 16,285.68 × 6,482.03
  4. Step 4: Simplify right side
    10,873.64x = 105,564,184.90
  5. Step 5: Solve for x
    x = 105,564,184.90/10,873.64
  6. Step 6: Final answer
    x = 9,708.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.