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Finding the Fourth Proportional to 7,971.66, 11,952.08 and 4,464.08

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Solution

The fourth proportional to 7,971.66, 11,952.08 and 4,464.08 is: 6,693.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971.66 : 11,952.08 = 4,464.08 : x
  2. Step 2: Convert to fraction form
    7,971.66/11,952.08 = 4,464.08/x
  3. Step 3: Cross multiply
    7,971.66x = 11,952.08 × 4,464.08
  4. Step 4: Simplify right side
    7,971.66x = 53,355,041.29
  5. Step 5: Solve for x
    x = 53,355,041.29/7,971.66
  6. Step 6: Final answer
    x = 6,693.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.