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Finding the Fourth Proportional to 8,411.36, 12,607.32 and 4,902.56

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Solution

The fourth proportional to 8,411.36, 12,607.32 and 4,902.56 is: 7,348.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.36 : 12,607.32 = 4,902.56 : x
  2. Step 2: Convert to fraction form
    8,411.36/12,607.32 = 4,902.56/x
  3. Step 3: Cross multiply
    8,411.36x = 12,607.32 × 4,902.56
  4. Step 4: Simplify right side
    8,411.36x = 61,808,142.74
  5. Step 5: Solve for x
    x = 61,808,142.74/8,411.36
  6. Step 6: Final answer
    x = 7,348.17

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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.