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Finding the Fourth Proportional to 11,522.42, 15,903.22 and 7,483.61

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Solution

The fourth proportional to 11,522.42, 15,903.22 and 7,483.61 is: 10,328.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,522.42 : 15,903.22 = 7,483.61 : x
  2. Step 2: Convert to fraction form
    11,522.42/15,903.22 = 7,483.61/x
  3. Step 3: Cross multiply
    11,522.42x = 15,903.22 × 7,483.61
  4. Step 4: Simplify right side
    11,522.42x = 119,013,416.71
  5. Step 5: Solve for x
    x = 119,013,416.71/11,522.42
  6. Step 6: Final answer
    x = 10,328.86

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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.