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Finding the Fourth Proportional to 10,707.80, 16,064.10 and 3,312.60

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Solution

The fourth proportional to 10,707.80, 16,064.10 and 3,312.60 is: 4,969.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.80 : 16,064.10 = 3,312.60 : x
  2. Step 2: Convert to fraction form
    10,707.80/16,064.10 = 3,312.60/x
  3. Step 3: Cross multiply
    10,707.80x = 16,064.10 × 3,312.60
  4. Step 4: Simplify right side
    10,707.80x = 53,213,937.66
  5. Step 5: Solve for x
    x = 53,213,937.66/10,707.80
  6. Step 6: Final answer
    x = 4,969.64

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