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Finding the Fourth Proportional to 8,411.68, 11,607.87 and 4,827.16

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Solution

The fourth proportional to 8,411.68, 11,607.87 and 4,827.16 is: 6,661.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.68 : 11,607.87 = 4,827.16 : x
  2. Step 2: Convert to fraction form
    8,411.68/11,607.87 = 4,827.16/x
  3. Step 3: Cross multiply
    8,411.68x = 11,607.87 × 4,827.16
  4. Step 4: Simplify right side
    8,411.68x = 56,033,045.75
  5. Step 5: Solve for x
    x = 56,033,045.75/8,411.68
  6. Step 6: Final answer
    x = 6,661.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.