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Finding the Fourth Proportional to 10,428.96, 14,392.14 and 5,712.93

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Solution

The fourth proportional to 10,428.96, 14,392.14 and 5,712.93 is: 7,883.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428.96 : 14,392.14 = 5,712.93 : x
  2. Step 2: Convert to fraction form
    10,428.96/14,392.14 = 5,712.93/x
  3. Step 3: Cross multiply
    10,428.96x = 14,392.14 × 5,712.93
  4. Step 4: Simplify right side
    10,428.96x = 82,221,288.37
  5. Step 5: Solve for x
    x = 82,221,288.37/10,428.96
  6. Step 6: Final answer
    x = 7,883.94

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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.