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Finding the Fourth Proportional to 11,657.03, 16,087.11 and 7,118.66

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Solution

The fourth proportional to 11,657.03, 16,087.11 and 7,118.66 is: 9,824.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.03 : 16,087.11 = 7,118.66 : x
  2. Step 2: Convert to fraction form
    11,657.03/16,087.11 = 7,118.66/x
  3. Step 3: Cross multiply
    11,657.03x = 16,087.11 × 7,118.66
  4. Step 4: Simplify right side
    11,657.03x = 114,518,666.47
  5. Step 5: Solve for x
    x = 114,518,666.47/11,657.03
  6. Step 6: Final answer
    x = 9,824.00

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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.