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Finding the Fourth Proportional to 10,356.48, 14,291.48 and 5,640.80

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Solution

The fourth proportional to 10,356.48, 14,291.48 and 5,640.80 is: 7,784.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.48 : 14,291.48 = 5,640.80 : x
  2. Step 2: Convert to fraction form
    10,356.48/14,291.48 = 5,640.80/x
  3. Step 3: Cross multiply
    10,356.48x = 14,291.48 × 5,640.80
  4. Step 4: Simplify right side
    10,356.48x = 80,615,380.38
  5. Step 5: Solve for x
    x = 80,615,380.38/10,356.48
  6. Step 6: Final answer
    x = 7,784.05

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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.