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Finding the Fourth Proportional to 10,447.74, 15,671.68 and 3,057.35

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Solution

The fourth proportional to 10,447.74, 15,671.68 and 3,057.35 is: 4,586.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.74 : 15,671.68 = 3,057.35 : x
  2. Step 2: Convert to fraction form
    10,447.74/15,671.68 = 3,057.35/x
  3. Step 3: Cross multiply
    10,447.74x = 15,671.68 × 3,057.35
  4. Step 4: Simplify right side
    10,447.74x = 47,913,800.81
  5. Step 5: Solve for x
    x = 47,913,800.81/10,447.74
  6. Step 6: Final answer
    x = 4,586.05

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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.