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Finding the Fourth Proportional to 10,342.13, 15,515.62 and 3,416.63

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Solution

The fourth proportional to 10,342.13, 15,515.62 and 3,416.63 is: 5,125.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.13 : 15,515.62 = 3,416.63 : x
  2. Step 2: Convert to fraction form
    10,342.13/15,515.62 = 3,416.63/x
  3. Step 3: Cross multiply
    10,342.13x = 15,515.62 × 3,416.63
  4. Step 4: Simplify right side
    10,342.13x = 53,011,046.64
  5. Step 5: Solve for x
    x = 53,011,046.64/10,342.13
  6. Step 6: Final answer
    x = 5,125.74

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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.