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Finding the Fourth Proportional to 7,996.86, 11,035.35 and 4,460.00

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Solution

The fourth proportional to 7,996.86, 11,035.35 and 4,460.00 is: 6,154.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,996.86 : 11,035.35 = 4,460.00 : x
  2. Step 2: Convert to fraction form
    7,996.86/11,035.35 = 4,460.00/x
  3. Step 3: Cross multiply
    7,996.86x = 11,035.35 × 4,460.00
  4. Step 4: Simplify right side
    7,996.86x = 49,217,605.82
  5. Step 5: Solve for x
    x = 49,217,605.82/7,996.86
  6. Step 6: Final answer
    x = 6,154.62

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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.