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Finding the Fourth Proportional to 7,656.72, 11,486.16 and 2,464.08

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Solution

The fourth proportional to 7,656.72, 11,486.16 and 2,464.08 is: 3,696.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.72 : 11,486.16 = 2,464.08 : x
  2. Step 2: Convert to fraction form
    7,656.72/11,486.16 = 2,464.08/x
  3. Step 3: Cross multiply
    7,656.72x = 11,486.16 × 2,464.08
  4. Step 4: Simplify right side
    7,656.72x = 28,302,817.13
  5. Step 5: Solve for x
    x = 28,302,817.13/7,656.72
  6. Step 6: Final answer
    x = 3,696.47

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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.