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Finding the Fourth Proportional to 10,446.47, 15,670.06 and 3,426.64

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Solution

The fourth proportional to 10,446.47, 15,670.06 and 3,426.64 is: 5,140.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.47 : 15,670.06 = 3,426.64 : x
  2. Step 2: Convert to fraction form
    10,446.47/15,670.06 = 3,426.64/x
  3. Step 3: Cross multiply
    10,446.47x = 15,670.06 × 3,426.64
  4. Step 4: Simplify right side
    10,446.47x = 53,695,606.66
  5. Step 5: Solve for x
    x = 53,695,606.66/10,446.47
  6. Step 6: Final answer
    x = 5,140.07

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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.