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Finding the Fourth Proportional to 7,979.52, 11,952.96 and 6,504

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Solution

The fourth proportional to 7,979.52, 11,952.96 and 6,504 is: 9,742.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,979.52 : 11,952.96 = 6,504 : x
  2. Step 2: Convert to fraction form
    7,979.52/11,952.96 = 6,504/x
  3. Step 3: Cross multiply
    7,979.52x = 11,952.96 × 6,504
  4. Step 4: Simplify right side
    7,979.52x = 77,742,051.84
  5. Step 5: Solve for x
    x = 77,742,051.84/7,979.52
  6. Step 6: Final answer
    x = 9,742.70

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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.