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Finding the Fourth Proportional to 7,881.42, 10,879.74 and 4,737

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Solution

The fourth proportional to 7,881.42, 10,879.74 and 4,737 is: 6,539.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.42 : 10,879.74 = 4,737 : x
  2. Step 2: Convert to fraction form
    7,881.42/10,879.74 = 4,737/x
  3. Step 3: Cross multiply
    7,881.42x = 10,879.74 × 4,737
  4. Step 4: Simplify right side
    7,881.42x = 51,537,328.38
  5. Step 5: Solve for x
    x = 51,537,328.38/7,881.42
  6. Step 6: Final answer
    x = 6,539.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.