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Finding the Fourth Proportional to 10,943.80, 16,415.70 and 4,706.80

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Solution

The fourth proportional to 10,943.80, 16,415.70 and 4,706.80 is: 7,060.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,943.80 : 16,415.70 = 4,706.80 : x
  2. Step 2: Convert to fraction form
    10,943.80/16,415.70 = 4,706.80/x
  3. Step 3: Cross multiply
    10,943.80x = 16,415.70 × 4,706.80
  4. Step 4: Simplify right side
    10,943.80x = 77,265,416.76
  5. Step 5: Solve for x
    x = 77,265,416.76/10,943.80
  6. Step 6: Final answer
    x = 7,060.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.