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Finding the Fourth Proportional to 11,628, 16,046.64 and 6,592.32

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Solution

The fourth proportional to 11,628, 16,046.64 and 6,592.32 is: 9,097.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,628 : 16,046.64 = 6,592.32 : x
  2. Step 2: Convert to fraction form
    11,628/16,046.64 = 6,592.32/x
  3. Step 3: Cross multiply
    11,628x = 16,046.64 × 6,592.32
  4. Step 4: Simplify right side
    11,628x = 105,784,585.80
  5. Step 5: Solve for x
    x = 105,784,585.80/11,628
  6. Step 6: Final answer
    x = 9,097.40

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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.