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Finding the Fourth Proportional to 7,336, 10,123.70 and 4,192.18

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Solution

The fourth proportional to 7,336, 10,123.70 and 4,192.18 is: 5,785.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,336 : 10,123.70 = 4,192.18 : x
  2. Step 2: Convert to fraction form
    7,336/10,123.70 = 4,192.18/x
  3. Step 3: Cross multiply
    7,336x = 10,123.70 × 4,192.18
  4. Step 4: Simplify right side
    7,336x = 42,440,372.67
  5. Step 5: Solve for x
    x = 42,440,372.67/7,336
  6. Step 6: Final answer
    x = 5,785.22

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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.