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Finding the Fourth Proportional to 7,656.24, 11,482.92 and 2,725.86

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Solution

The fourth proportional to 7,656.24, 11,482.92 and 2,725.86 is: 4,088.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.24 : 11,482.92 = 2,725.86 : x
  2. Step 2: Convert to fraction form
    7,656.24/11,482.92 = 2,725.86/x
  3. Step 3: Cross multiply
    7,656.24x = 11,482.92 × 2,725.86
  4. Step 4: Simplify right side
    7,656.24x = 31,300,832.31
  5. Step 5: Solve for x
    x = 31,300,832.31/7,656.24
  6. Step 6: Final answer
    x = 4,088.28

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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.