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Finding the Fourth Proportional to 8,429.81, 11,630.81 and 5,445.77

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Solution

The fourth proportional to 8,429.81, 11,630.81 and 5,445.77 is: 7,513.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.81 : 11,630.81 = 5,445.77 : x
  2. Step 2: Convert to fraction form
    8,429.81/11,630.81 = 5,445.77/x
  3. Step 3: Cross multiply
    8,429.81x = 11,630.81 × 5,445.77
  4. Step 4: Simplify right side
    8,429.81x = 63,338,688.94
  5. Step 5: Solve for x
    x = 63,338,688.94/8,429.81
  6. Step 6: Final answer
    x = 7,513.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.