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Finding the Fourth Proportional to 8,490.29, 12,732.35 and 2,942.10

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Solution

The fourth proportional to 8,490.29, 12,732.35 and 2,942.10 is: 4,412.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.29 : 12,732.35 = 2,942.10 : x
  2. Step 2: Convert to fraction form
    8,490.29/12,732.35 = 2,942.10/x
  3. Step 3: Cross multiply
    8,490.29x = 12,732.35 × 2,942.10
  4. Step 4: Simplify right side
    8,490.29x = 37,459,832.22
  5. Step 5: Solve for x
    x = 37,459,832.22/8,490.29
  6. Step 6: Final answer
    x = 4,412.08

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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.