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Finding the Fourth Proportional to 10,471.64, 15,707.06 and 3,546.14

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Solution

The fourth proportional to 10,471.64, 15,707.06 and 3,546.14 is: 5,319.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.64 : 15,707.06 = 3,546.14 : x
  2. Step 2: Convert to fraction form
    10,471.64/15,707.06 = 3,546.14/x
  3. Step 3: Cross multiply
    10,471.64x = 15,707.06 × 3,546.14
  4. Step 4: Simplify right side
    10,471.64x = 55,699,416.02
  5. Step 5: Solve for x
    x = 55,699,416.02/10,471.64
  6. Step 6: Final answer
    x = 5,319.07

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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.