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Finding the Fourth Proportional to 10,620.56, 14,658.24 and 6,143.60

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Solution

The fourth proportional to 10,620.56, 14,658.24 and 6,143.60 is: 8,479.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,620.56 : 14,658.24 = 6,143.60 : x
  2. Step 2: Convert to fraction form
    10,620.56/14,658.24 = 6,143.60/x
  3. Step 3: Cross multiply
    10,620.56x = 14,658.24 × 6,143.60
  4. Step 4: Simplify right side
    10,620.56x = 90,054,363.26
  5. Step 5: Solve for x
    x = 90,054,363.26/10,620.56
  6. Step 6: Final answer
    x = 8,479.25

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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.