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Finding the Fourth Proportional to 10,147.95, 14,010.71 and 6,376.32

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Solution

The fourth proportional to 10,147.95, 14,010.71 and 6,376.32 is: 8,803.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,147.95 : 14,010.71 = 6,376.32 : x
  2. Step 2: Convert to fraction form
    10,147.95/14,010.71 = 6,376.32/x
  3. Step 3: Cross multiply
    10,147.95x = 14,010.71 × 6,376.32
  4. Step 4: Simplify right side
    10,147.95x = 89,336,738.51
  5. Step 5: Solve for x
    x = 89,336,738.51/10,147.95
  6. Step 6: Final answer
    x = 8,803.43

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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.