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Finding the Fourth Proportional to 6,915.65, 10,373.94 and 1,985.18

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Solution

The fourth proportional to 6,915.65, 10,373.94 and 1,985.18 is: 2,977.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915.65 : 10,373.94 = 1,985.18 : x
  2. Step 2: Convert to fraction form
    6,915.65/10,373.94 = 1,985.18/x
  3. Step 3: Cross multiply
    6,915.65x = 10,373.94 × 1,985.18
  4. Step 4: Simplify right side
    6,915.65x = 20,594,086.34
  5. Step 5: Solve for x
    x = 20,594,086.34/6,915.65
  6. Step 6: Final answer
    x = 2,977.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.