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Finding the Fourth Proportional to 6,862.17, 10,307.03 and 4,094.24

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Solution

The fourth proportional to 6,862.17, 10,307.03 and 4,094.24 is: 6,149.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.17 : 10,307.03 = 4,094.24 : x
  2. Step 2: Convert to fraction form
    6,862.17/10,307.03 = 4,094.24/x
  3. Step 3: Cross multiply
    6,862.17x = 10,307.03 × 4,094.24
  4. Step 4: Simplify right side
    6,862.17x = 42,199,454.51
  5. Step 5: Solve for x
    x = 42,199,454.51/6,862.17
  6. Step 6: Final answer
    x = 6,149.58

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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.