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Finding the Fourth Proportional to 8,533.40, 12,785.70 and 7,064.60

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Solution

The fourth proportional to 8,533.40, 12,785.70 and 7,064.60 is: 10,584.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.40 : 12,785.70 = 7,064.60 : x
  2. Step 2: Convert to fraction form
    8,533.40/12,785.70 = 7,064.60/x
  3. Step 3: Cross multiply
    8,533.40x = 12,785.70 × 7,064.60
  4. Step 4: Simplify right side
    8,533.40x = 90,325,856.22
  5. Step 5: Solve for x
    x = 90,325,856.22/8,533.40
  6. Step 6: Final answer
    x = 10,584.98

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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.