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Finding the Fourth Proportional to 7,916.48, 11,848.96 and 5,835.65

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Solution

The fourth proportional to 7,916.48, 11,848.96 and 5,835.65 is: 8,734.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,916.48 : 11,848.96 = 5,835.65 : x
  2. Step 2: Convert to fraction form
    7,916.48/11,848.96 = 5,835.65/x
  3. Step 3: Cross multiply
    7,916.48x = 11,848.96 × 5,835.65
  4. Step 4: Simplify right side
    7,916.48x = 69,146,383.42
  5. Step 5: Solve for x
    x = 69,146,383.42/7,916.48
  6. Step 6: Final answer
    x = 8,734.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.