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Finding the Fourth Proportional to 8,598.60, 12,896.10 and 4,219.20

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Solution

The fourth proportional to 8,598.60, 12,896.10 and 4,219.20 is: 6,327.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,598.60 : 12,896.10 = 4,219.20 : x
  2. Step 2: Convert to fraction form
    8,598.60/12,896.10 = 4,219.20/x
  3. Step 3: Cross multiply
    8,598.60x = 12,896.10 × 4,219.20
  4. Step 4: Simplify right side
    8,598.60x = 54,411,225.12
  5. Step 5: Solve for x
    x = 54,411,225.12/8,598.60
  6. Step 6: Final answer
    x = 6,327.92

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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.