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Finding the Fourth Proportional to 11,416.66, 15,755.10 and 6,701.02

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Solution

The fourth proportional to 11,416.66, 15,755.10 and 6,701.02 is: 9,247.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,416.66 : 15,755.10 = 6,701.02 : x
  2. Step 2: Convert to fraction form
    11,416.66/15,755.10 = 6,701.02/x
  3. Step 3: Cross multiply
    11,416.66x = 15,755.10 × 6,701.02
  4. Step 4: Simplify right side
    11,416.66x = 105,575,240.20
  5. Step 5: Solve for x
    x = 105,575,240.20/11,416.66
  6. Step 6: Final answer
    x = 9,247.47

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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.