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Finding the Fourth Proportional to 7,838.58, 10,817.44 and 4,301.76

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Solution

The fourth proportional to 7,838.58, 10,817.44 and 4,301.76 is: 5,936.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.58 : 10,817.44 = 4,301.76 : x
  2. Step 2: Convert to fraction form
    7,838.58/10,817.44 = 4,301.76/x
  3. Step 3: Cross multiply
    7,838.58x = 10,817.44 × 4,301.76
  4. Step 4: Simplify right side
    7,838.58x = 46,534,030.69
  5. Step 5: Solve for x
    x = 46,534,030.69/7,838.58
  6. Step 6: Final answer
    x = 5,936.54

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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.