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Finding the Fourth Proportional to 10,643.20, 14,692.82 and 6,666.52

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Solution

The fourth proportional to 10,643.20, 14,692.82 and 6,666.52 is: 9,203.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.20 : 14,692.82 = 6,666.52 : x
  2. Step 2: Convert to fraction form
    10,643.20/14,692.82 = 6,666.52/x
  3. Step 3: Cross multiply
    10,643.20x = 14,692.82 × 6,666.52
  4. Step 4: Simplify right side
    10,643.20x = 97,949,978.39
  5. Step 5: Solve for x
    x = 97,949,978.39/10,643.20
  6. Step 6: Final answer
    x = 9,203.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.