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Finding the Fourth Proportional to 7,944.68, 11,925.62 and 5,975.93

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Solution

The fourth proportional to 7,944.68, 11,925.62 and 5,975.93 is: 8,970.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,944.68 : 11,925.62 = 5,975.93 : x
  2. Step 2: Convert to fraction form
    7,944.68/11,925.62 = 5,975.93/x
  3. Step 3: Cross multiply
    7,944.68x = 11,925.62 × 5,975.93
  4. Step 4: Simplify right side
    7,944.68x = 71,266,580.82
  5. Step 5: Solve for x
    x = 71,266,580.82/7,944.68
  6. Step 6: Final answer
    x = 8,970.36

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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.