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Finding the Fourth Proportional to 8,640.86, 11,925.26 and 5,658.34

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Solution

The fourth proportional to 8,640.86, 11,925.26 and 5,658.34 is: 7,809.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,640.86 : 11,925.26 = 5,658.34 : x
  2. Step 2: Convert to fraction form
    8,640.86/11,925.26 = 5,658.34/x
  3. Step 3: Cross multiply
    8,640.86x = 11,925.26 × 5,658.34
  4. Step 4: Simplify right side
    8,640.86x = 67,477,175.67
  5. Step 5: Solve for x
    x = 67,477,175.67/8,640.86
  6. Step 6: Final answer
    x = 7,809.08

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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.