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Finding the Fourth Proportional to 10,430.74, 14,395.80 and 5,953.48

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Solution

The fourth proportional to 10,430.74, 14,395.80 and 5,953.48 is: 8,216.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.74 : 14,395.80 = 5,953.48 : x
  2. Step 2: Convert to fraction form
    10,430.74/14,395.80 = 5,953.48/x
  3. Step 3: Cross multiply
    10,430.74x = 14,395.80 × 5,953.48
  4. Step 4: Simplify right side
    10,430.74x = 85,705,107.38
  5. Step 5: Solve for x
    x = 85,705,107.38/10,430.74
  6. Step 6: Final answer
    x = 8,216.59

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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.