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Finding the Fourth Proportional to 7,975.72, 11,016.16 and 5,848.17

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Solution

The fourth proportional to 7,975.72, 11,016.16 and 5,848.17 is: 8,077.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,975.72 : 11,016.16 = 5,848.17 : x
  2. Step 2: Convert to fraction form
    7,975.72/11,016.16 = 5,848.17/x
  3. Step 3: Cross multiply
    7,975.72x = 11,016.16 × 5,848.17
  4. Step 4: Simplify right side
    7,975.72x = 64,424,417.56
  5. Step 5: Solve for x
    x = 64,424,417.56/7,975.72
  6. Step 6: Final answer
    x = 8,077.57

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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.