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Finding the Fourth Proportional to 8,444.64, 12,667.36 and 2,602.10

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Solution

The fourth proportional to 8,444.64, 12,667.36 and 2,602.10 is: 3,903.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,444.64 : 12,667.36 = 2,602.10 : x
  2. Step 2: Convert to fraction form
    8,444.64/12,667.36 = 2,602.10/x
  3. Step 3: Cross multiply
    8,444.64x = 12,667.36 × 2,602.10
  4. Step 4: Simplify right side
    8,444.64x = 32,961,737.46
  5. Step 5: Solve for x
    x = 32,961,737.46/8,444.64
  6. Step 6: Final answer
    x = 3,903.27

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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.