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Finding the Fourth Proportional to 12,945.98, 17,866.40 and 7,911.16

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Solution

The fourth proportional to 12,945.98, 17,866.40 and 7,911.16 is: 10,917.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,945.98 : 17,866.40 = 7,911.16 : x
  2. Step 2: Convert to fraction form
    12,945.98/17,866.40 = 7,911.16/x
  3. Step 3: Cross multiply
    12,945.98x = 17,866.40 × 7,911.16
  4. Step 4: Simplify right side
    12,945.98x = 141,343,949.02
  5. Step 5: Solve for x
    x = 141,343,949.02/12,945.98
  6. Step 6: Final answer
    x = 10,917.98

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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.