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Finding the Fourth Proportional to 10,614.51, 15,924.02 and 3,594.18

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Solution

The fourth proportional to 10,614.51, 15,924.02 and 3,594.18 is: 5,392.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.51 : 15,924.02 = 3,594.18 : x
  2. Step 2: Convert to fraction form
    10,614.51/15,924.02 = 3,594.18/x
  3. Step 3: Cross multiply
    10,614.51x = 15,924.02 × 3,594.18
  4. Step 4: Simplify right side
    10,614.51x = 57,233,835.95
  5. Step 5: Solve for x
    x = 57,233,835.95/10,614.51
  6. Step 6: Final answer
    x = 5,392.04

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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.