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Finding the Fourth Proportional to 10,409.78, 14,360.46 and 6,159.68

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Solution

The fourth proportional to 10,409.78, 14,360.46 and 6,159.68 is: 8,497.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.78 : 14,360.46 = 6,159.68 : x
  2. Step 2: Convert to fraction form
    10,409.78/14,360.46 = 6,159.68/x
  3. Step 3: Cross multiply
    10,409.78x = 14,360.46 × 6,159.68
  4. Step 4: Simplify right side
    10,409.78x = 88,455,838.25
  5. Step 5: Solve for x
    x = 88,455,838.25/10,409.78
  6. Step 6: Final answer
    x = 8,497.38

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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.