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Finding the Fourth Proportional to 10,367.65, 15,551.48 and 9,914.05

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Solution

The fourth proportional to 10,367.65, 15,551.48 and 9,914.05 is: 14,871.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.65 : 15,551.48 = 9,914.05 : x
  2. Step 2: Convert to fraction form
    10,367.65/15,551.48 = 9,914.05/x
  3. Step 3: Cross multiply
    10,367.65x = 15,551.48 × 9,914.05
  4. Step 4: Simplify right side
    10,367.65x = 154,178,150.29
  5. Step 5: Solve for x
    x = 154,178,150.29/10,367.65
  6. Step 6: Final answer
    x = 14,871.08

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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.