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Finding the Fourth Proportional to 7,223.47, 10,832.47 and 2,838.53

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Solution

The fourth proportional to 7,223.47, 10,832.47 and 2,838.53 is: 4,256.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223.47 : 10,832.47 = 2,838.53 : x
  2. Step 2: Convert to fraction form
    7,223.47/10,832.47 = 2,838.53/x
  3. Step 3: Cross multiply
    7,223.47x = 10,832.47 × 2,838.53
  4. Step 4: Simplify right side
    7,223.47x = 30,748,291.07
  5. Step 5: Solve for x
    x = 30,748,291.07/7,223.47
  6. Step 6: Final answer
    x = 4,256.72

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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.