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Finding the Fourth Proportional to 10,709.68, 16,058.56 and 3,312.04

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Solution

The fourth proportional to 10,709.68, 16,058.56 and 3,312.04 is: 4,966.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.68 : 16,058.56 = 3,312.04 : x
  2. Step 2: Convert to fraction form
    10,709.68/16,058.56 = 3,312.04/x
  3. Step 3: Cross multiply
    10,709.68x = 16,058.56 × 3,312.04
  4. Step 4: Simplify right side
    10,709.68x = 53,186,593.06
  5. Step 5: Solve for x
    x = 53,186,593.06/10,709.68
  6. Step 6: Final answer
    x = 4,966.22

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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.