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Finding the Fourth Proportional to 7,864.63, 11,795.06 and 2,316.48

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Solution

The fourth proportional to 7,864.63, 11,795.06 and 2,316.48 is: 3,474.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.63 : 11,795.06 = 2,316.48 : x
  2. Step 2: Convert to fraction form
    7,864.63/11,795.06 = 2,316.48/x
  3. Step 3: Cross multiply
    7,864.63x = 11,795.06 × 2,316.48
  4. Step 4: Simplify right side
    7,864.63x = 27,322,950.03
  5. Step 5: Solve for x
    x = 27,322,950.03/7,864.63
  6. Step 6: Final answer
    x = 3,474.16

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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.