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Finding the Fourth Proportional to 8,210.58, 12,319.65 and 3,532.02

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Solution

The fourth proportional to 8,210.58, 12,319.65 and 3,532.02 is: 5,299.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.58 : 12,319.65 = 3,532.02 : x
  2. Step 2: Convert to fraction form
    8,210.58/12,319.65 = 3,532.02/x
  3. Step 3: Cross multiply
    8,210.58x = 12,319.65 × 3,532.02
  4. Step 4: Simplify right side
    8,210.58x = 43,513,250.19
  5. Step 5: Solve for x
    x = 43,513,250.19/8,210.58
  6. Step 6: Final answer
    x = 5,299.66

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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.