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Finding the Fourth Proportional to 8,539.02, 12,807.08 and 2,297.64

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Solution

The fourth proportional to 8,539.02, 12,807.08 and 2,297.64 is: 3,446.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,539.02 : 12,807.08 = 2,297.64 : x
  2. Step 2: Convert to fraction form
    8,539.02/12,807.08 = 2,297.64/x
  3. Step 3: Cross multiply
    8,539.02x = 12,807.08 × 2,297.64
  4. Step 4: Simplify right side
    8,539.02x = 29,426,035.61
  5. Step 5: Solve for x
    x = 29,426,035.61/8,539.02
  6. Step 6: Final answer
    x = 3,446.07

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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.