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Finding the Fourth Proportional to 8,410, 11,606.16 and 4,684

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Solution

The fourth proportional to 8,410, 11,606.16 and 4,684 is: 6,464.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410 : 11,606.16 = 4,684 : x
  2. Step 2: Convert to fraction form
    8,410/11,606.16 = 4,684/x
  3. Step 3: Cross multiply
    8,410x = 11,606.16 × 4,684
  4. Step 4: Simplify right side
    8,410x = 54,363,253.44
  5. Step 5: Solve for x
    x = 54,363,253.44/8,410
  6. Step 6: Final answer
    x = 6,464.12

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Why These Related Problems?

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