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Finding the Fourth Proportional to 6,916.42, 10,377.22 and 4,145.08

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Solution

The fourth proportional to 6,916.42, 10,377.22 and 4,145.08 is: 6,219.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,916.42 : 10,377.22 = 4,145.08 : x
  2. Step 2: Convert to fraction form
    6,916.42/10,377.22 = 4,145.08/x
  3. Step 3: Cross multiply
    6,916.42x = 10,377.22 × 4,145.08
  4. Step 4: Simplify right side
    6,916.42x = 43,014,407.08
  5. Step 5: Solve for x
    x = 43,014,407.08/6,916.42
  6. Step 6: Final answer
    x = 6,219.17

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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.