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Finding the Fourth Proportional to 11,415.78, 15,753.42 and 6,699.96

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Solution

The fourth proportional to 11,415.78, 15,753.42 and 6,699.96 is: 9,245.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415.78 : 15,753.42 = 6,699.96 : x
  2. Step 2: Convert to fraction form
    11,415.78/15,753.42 = 6,699.96/x
  3. Step 3: Cross multiply
    11,415.78x = 15,753.42 × 6,699.96
  4. Step 4: Simplify right side
    11,415.78x = 105,547,283.86
  5. Step 5: Solve for x
    x = 105,547,283.86/11,415.78
  6. Step 6: Final answer
    x = 9,245.74

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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.