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Finding the Fourth Proportional to 6,985.29, 10,478.03 and 2,055.04

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Solution

The fourth proportional to 6,985.29, 10,478.03 and 2,055.04 is: 3,082.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985.29 : 10,478.03 = 2,055.04 : x
  2. Step 2: Convert to fraction form
    6,985.29/10,478.03 = 2,055.04/x
  3. Step 3: Cross multiply
    6,985.29x = 10,478.03 × 2,055.04
  4. Step 4: Simplify right side
    6,985.29x = 21,532,734.30
  5. Step 5: Solve for x
    x = 21,532,734.30/6,985.29
  6. Step 6: Final answer
    x = 3,082.58

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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.