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Finding the Fourth Proportional to 7,911.44, 10,915.64 and 4,767.60

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Solution

The fourth proportional to 7,911.44, 10,915.64 and 4,767.60 is: 6,577.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,911.44 : 10,915.64 = 4,767.60 : x
  2. Step 2: Convert to fraction form
    7,911.44/10,915.64 = 4,767.60/x
  3. Step 3: Cross multiply
    7,911.44x = 10,915.64 × 4,767.60
  4. Step 4: Simplify right side
    7,911.44x = 52,041,405.26
  5. Step 5: Solve for x
    x = 52,041,405.26/7,911.44
  6. Step 6: Final answer
    x = 6,577.99

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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.