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Finding the Fourth Proportional to 8,289.77, 12,434.78 and 4,615.35

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Solution

The fourth proportional to 8,289.77, 12,434.78 and 4,615.35 is: 6,923.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.77 : 12,434.78 = 4,615.35 : x
  2. Step 2: Convert to fraction form
    8,289.77/12,434.78 = 4,615.35/x
  3. Step 3: Cross multiply
    8,289.77x = 12,434.78 × 4,615.35
  4. Step 4: Simplify right side
    8,289.77x = 57,390,873.41
  5. Step 5: Solve for x
    x = 57,390,873.41/8,289.77
  6. Step 6: Final answer
    x = 6,923.10

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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.