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Finding the Fourth Proportional to 10,620.84, 14,658.57 and 6,147.32

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Solution

The fourth proportional to 10,620.84, 14,658.57 and 6,147.32 is: 8,484.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,620.84 : 14,658.57 = 6,147.32 : x
  2. Step 2: Convert to fraction form
    10,620.84/14,658.57 = 6,147.32/x
  3. Step 3: Cross multiply
    10,620.84x = 14,658.57 × 6,147.32
  4. Step 4: Simplify right side
    10,620.84x = 90,110,847.24
  5. Step 5: Solve for x
    x = 90,110,847.24/10,620.84
  6. Step 6: Final answer
    x = 8,484.34

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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.