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Finding the Fourth Proportional to 10,406.04, 14,359.32 and 5,929.44

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Solution

The fourth proportional to 10,406.04, 14,359.32 and 5,929.44 is: 8,182.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.04 : 14,359.32 = 5,929.44 : x
  2. Step 2: Convert to fraction form
    10,406.04/14,359.32 = 5,929.44/x
  3. Step 3: Cross multiply
    10,406.04x = 14,359.32 × 5,929.44
  4. Step 4: Simplify right side
    10,406.04x = 85,142,726.38
  5. Step 5: Solve for x
    x = 85,142,726.38/10,406.04
  6. Step 6: Final answer
    x = 8,182.05

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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.