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Finding the Fourth Proportional to 10,730.63, 16,077.17 and 7,445.81

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Solution

The fourth proportional to 10,730.63, 16,077.17 and 7,445.81 is: 11,155.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.63 : 16,077.17 = 7,445.81 : x
  2. Step 2: Convert to fraction form
    10,730.63/16,077.17 = 7,445.81/x
  3. Step 3: Cross multiply
    10,730.63x = 16,077.17 × 7,445.81
  4. Step 4: Simplify right side
    10,730.63x = 119,707,435.54
  5. Step 5: Solve for x
    x = 119,707,435.54/10,730.63
  6. Step 6: Final answer
    x = 11,155.68

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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.