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Finding the Fourth Proportional to 7,643.35, 10,546.95 and 4,285.72

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Solution

The fourth proportional to 7,643.35, 10,546.95 and 4,285.72 is: 5,913.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.35 : 10,546.95 = 4,285.72 : x
  2. Step 2: Convert to fraction form
    7,643.35/10,546.95 = 4,285.72/x
  3. Step 3: Cross multiply
    7,643.35x = 10,546.95 × 4,285.72
  4. Step 4: Simplify right side
    7,643.35x = 45,201,274.55
  5. Step 5: Solve for x
    x = 45,201,274.55/7,643.35
  6. Step 6: Final answer
    x = 5,913.80

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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.