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Finding the Fourth Proportional to 10,428.75, 14,391.81 and 5,712.93

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Solution

The fourth proportional to 10,428.75, 14,391.81 and 5,712.93 is: 7,883.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428.75 : 14,391.81 = 5,712.93 : x
  2. Step 2: Convert to fraction form
    10,428.75/14,391.81 = 5,712.93/x
  3. Step 3: Cross multiply
    10,428.75x = 14,391.81 × 5,712.93
  4. Step 4: Simplify right side
    10,428.75x = 82,219,403.10
  5. Step 5: Solve for x
    x = 82,219,403.10/10,428.75
  6. Step 6: Final answer
    x = 7,883.92

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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.