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Finding the Fourth Proportional to 7,915.42, 10,916.04 and 6,796

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Solution

The fourth proportional to 7,915.42, 10,916.04 and 6,796 is: 9,372.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,915.42 : 10,916.04 = 6,796 : x
  2. Step 2: Convert to fraction form
    7,915.42/10,916.04 = 6,796/x
  3. Step 3: Cross multiply
    7,915.42x = 10,916.04 × 6,796
  4. Step 4: Simplify right side
    7,915.42x = 74,185,407.84
  5. Step 5: Solve for x
    x = 74,185,407.84/7,915.42
  6. Step 6: Final answer
    x = 9,372.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.