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Finding the Fourth Proportional to 7,838.55, 10,817.19 and 4,301.79

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Solution

The fourth proportional to 7,838.55, 10,817.19 and 4,301.79 is: 5,936.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.55 : 10,817.19 = 4,301.79 : x
  2. Step 2: Convert to fraction form
    7,838.55/10,817.19 = 4,301.79/x
  3. Step 3: Cross multiply
    7,838.55x = 10,817.19 × 4,301.79
  4. Step 4: Simplify right side
    7,838.55x = 46,533,279.77
  5. Step 5: Solve for x
    x = 46,533,279.77/7,838.55
  6. Step 6: Final answer
    x = 5,936.47

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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.