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Finding the Fourth Proportional to 8,477.30, 12,712.35 and 4,096.10

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Solution

The fourth proportional to 8,477.30, 12,712.35 and 4,096.10 is: 6,142.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,477.30 : 12,712.35 = 4,096.10 : x
  2. Step 2: Convert to fraction form
    8,477.30/12,712.35 = 4,096.10/x
  3. Step 3: Cross multiply
    8,477.30x = 12,712.35 × 4,096.10
  4. Step 4: Simplify right side
    8,477.30x = 52,071,056.84
  5. Step 5: Solve for x
    x = 52,071,056.84/8,477.30
  6. Step 6: Final answer
    x = 6,142.41

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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.