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Finding the Fourth Proportional to 7,803.48, 10,772.46 and 5,915.40

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Solution

The fourth proportional to 7,803.48, 10,772.46 and 5,915.40 is: 8,166.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.48 : 10,772.46 = 5,915.40 : x
  2. Step 2: Convert to fraction form
    7,803.48/10,772.46 = 5,915.40/x
  3. Step 3: Cross multiply
    7,803.48x = 10,772.46 × 5,915.40
  4. Step 4: Simplify right side
    7,803.48x = 63,723,409.88
  5. Step 5: Solve for x
    x = 63,723,409.88/7,803.48
  6. Step 6: Final answer
    x = 8,166.02

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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.