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Finding the Fourth Proportional to 11,955.87, 16,501.86 and 7,978.50

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Solution

The fourth proportional to 11,955.87, 16,501.86 and 7,978.50 is: 11,012.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,955.87 : 16,501.86 = 7,978.50 : x
  2. Step 2: Convert to fraction form
    11,955.87/16,501.86 = 7,978.50/x
  3. Step 3: Cross multiply
    11,955.87x = 16,501.86 × 7,978.50
  4. Step 4: Simplify right side
    11,955.87x = 131,660,090.01
  5. Step 5: Solve for x
    x = 131,660,090.01/11,955.87
  6. Step 6: Final answer
    x = 11,012.17

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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.