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Finding the Fourth Proportional to 7,941.60, 10,962.72 and 4,797

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Solution

The fourth proportional to 7,941.60, 10,962.72 and 4,797 is: 6,621.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,941.60 : 10,962.72 = 4,797 : x
  2. Step 2: Convert to fraction form
    7,941.60/10,962.72 = 4,797/x
  3. Step 3: Cross multiply
    7,941.60x = 10,962.72 × 4,797
  4. Step 4: Simplify right side
    7,941.60x = 52,588,167.84
  5. Step 5: Solve for x
    x = 52,588,167.84/7,941.60
  6. Step 6: Final answer
    x = 6,621.86

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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.