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Finding the Fourth Proportional to 10,697.16, 14,761.80 and 5,981.88

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Solution

The fourth proportional to 10,697.16, 14,761.80 and 5,981.88 is: 8,254.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.16 : 14,761.80 = 5,981.88 : x
  2. Step 2: Convert to fraction form
    10,697.16/14,761.80 = 5,981.88/x
  3. Step 3: Cross multiply
    10,697.16x = 14,761.80 × 5,981.88
  4. Step 4: Simplify right side
    10,697.16x = 88,303,316.18
  5. Step 5: Solve for x
    x = 88,303,316.18/10,697.16
  6. Step 6: Final answer
    x = 8,254.84

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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.