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Finding the Fourth Proportional to 11,415.17, 15,753.35 and 6,700.97

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Solution

The fourth proportional to 11,415.17, 15,753.35 and 6,700.97 is: 9,247.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415.17 : 15,753.35 = 6,700.97 : x
  2. Step 2: Convert to fraction form
    11,415.17/15,753.35 = 6,700.97/x
  3. Step 3: Cross multiply
    11,415.17x = 15,753.35 × 6,700.97
  4. Step 4: Simplify right side
    11,415.17x = 105,562,725.75
  5. Step 5: Solve for x
    x = 105,562,725.75/11,415.17
  6. Step 6: Final answer
    x = 9,247.58

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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.