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Finding the Fourth Proportional to 11,157.90, 15,385.14 and 8,918.26

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Solution

The fourth proportional to 11,157.90, 15,385.14 and 8,918.26 is: 12,297.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,157.90 : 15,385.14 = 8,918.26 : x
  2. Step 2: Convert to fraction form
    11,157.90/15,385.14 = 8,918.26/x
  3. Step 3: Cross multiply
    11,157.90x = 15,385.14 × 8,918.26
  4. Step 4: Simplify right side
    11,157.90x = 137,208,678.66
  5. Step 5: Solve for x
    x = 137,208,678.66/11,157.90
  6. Step 6: Final answer
    x = 12,297.00

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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.