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Finding the Fourth Proportional to 10,328.34, 14,253.03 and 5,612.61

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Solution

The fourth proportional to 10,328.34, 14,253.03 and 5,612.61 is: 7,745.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,328.34 : 14,253.03 = 5,612.61 : x
  2. Step 2: Convert to fraction form
    10,328.34/14,253.03 = 5,612.61/x
  3. Step 3: Cross multiply
    10,328.34x = 14,253.03 × 5,612.61
  4. Step 4: Simplify right side
    10,328.34x = 79,996,698.71
  5. Step 5: Solve for x
    x = 79,996,698.71/10,328.34
  6. Step 6: Final answer
    x = 7,745.36

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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.