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Finding the Fourth Proportional to 10,702.80, 16,041.78 and 6,323.94

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Solution

The fourth proportional to 10,702.80, 16,041.78 and 6,323.94 is: 9,478.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.80 : 16,041.78 = 6,323.94 : x
  2. Step 2: Convert to fraction form
    10,702.80/16,041.78 = 6,323.94/x
  3. Step 3: Cross multiply
    10,702.80x = 16,041.78 × 6,323.94
  4. Step 4: Simplify right side
    10,702.80x = 101,447,254.21
  5. Step 5: Solve for x
    x = 101,447,254.21/10,702.80
  6. Step 6: Final answer
    x = 9,478.57

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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.