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Finding the Fourth Proportional to 8,411.94, 12,612.39 and 4,714.56

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Solution

The fourth proportional to 8,411.94, 12,612.39 and 4,714.56 is: 7,068.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.94 : 12,612.39 = 4,714.56 : x
  2. Step 2: Convert to fraction form
    8,411.94/12,612.39 = 4,714.56/x
  3. Step 3: Cross multiply
    8,411.94x = 12,612.39 × 4,714.56
  4. Step 4: Simplify right side
    8,411.94x = 59,461,869.40
  5. Step 5: Solve for x
    x = 59,461,869.40/8,411.94
  6. Step 6: Final answer
    x = 7,068.75

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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.