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Finding the Fourth Proportional to 10,875.07, 14,993.31 and 7,847.65

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Solution

The fourth proportional to 10,875.07, 14,993.31 and 7,847.65 is: 10,819.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,875.07 : 14,993.31 = 7,847.65 : x
  2. Step 2: Convert to fraction form
    10,875.07/14,993.31 = 7,847.65/x
  3. Step 3: Cross multiply
    10,875.07x = 14,993.31 × 7,847.65
  4. Step 4: Simplify right side
    10,875.07x = 117,662,249.22
  5. Step 5: Solve for x
    x = 117,662,249.22/10,875.07
  6. Step 6: Final answer
    x = 10,819.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.