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Finding the Fourth Proportional to 8,477.52, 11,708.81 and 5,640

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Solution

The fourth proportional to 8,477.52, 11,708.81 and 5,640 is: 7,789.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,477.52 : 11,708.81 = 5,640 : x
  2. Step 2: Convert to fraction form
    8,477.52/11,708.81 = 5,640/x
  3. Step 3: Cross multiply
    8,477.52x = 11,708.81 × 5,640
  4. Step 4: Simplify right side
    8,477.52x = 66,037,688.40
  5. Step 5: Solve for x
    x = 66,037,688.40/8,477.52
  6. Step 6: Final answer
    x = 7,789.74

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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.