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Finding the Fourth Proportional to 7,087.84, 10,630.80 and 1,894.16

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Solution

The fourth proportional to 7,087.84, 10,630.80 and 1,894.16 is: 2,840.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,087.84 : 10,630.80 = 1,894.16 : x
  2. Step 2: Convert to fraction form
    7,087.84/10,630.80 = 1,894.16/x
  3. Step 3: Cross multiply
    7,087.84x = 10,630.80 × 1,894.16
  4. Step 4: Simplify right side
    7,087.84x = 20,136,436.13
  5. Step 5: Solve for x
    x = 20,136,436.13/7,087.84
  6. Step 6: Final answer
    x = 2,840.98

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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.