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Finding the Fourth Proportional to 8,123.58, 11,206.67 and 5,289.93

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Solution

The fourth proportional to 8,123.58, 11,206.67 and 5,289.93 is: 7,297.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.58 : 11,206.67 = 5,289.93 : x
  2. Step 2: Convert to fraction form
    8,123.58/11,206.67 = 5,289.93/x
  3. Step 3: Cross multiply
    8,123.58x = 11,206.67 × 5,289.93
  4. Step 4: Simplify right side
    8,123.58x = 59,282,513.06
  5. Step 5: Solve for x
    x = 59,282,513.06/8,123.58
  6. Step 6: Final answer
    x = 7,297.58

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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.