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Finding the Fourth Proportional to 7,646.51, 11,462.02 and 5,181.58

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Solution

The fourth proportional to 7,646.51, 11,462.02 and 5,181.58 is: 7,767.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.51 : 11,462.02 = 5,181.58 : x
  2. Step 2: Convert to fraction form
    7,646.51/11,462.02 = 5,181.58/x
  3. Step 3: Cross multiply
    7,646.51x = 11,462.02 × 5,181.58
  4. Step 4: Simplify right side
    7,646.51x = 59,391,404.11
  5. Step 5: Solve for x
    x = 59,391,404.11/7,646.51
  6. Step 6: Final answer
    x = 7,767.12

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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.