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Finding the Fourth Proportional to 10,020, 13,828.41 and 5,829.06

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Solution

The fourth proportional to 10,020, 13,828.41 and 5,829.06 is: 8,044.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,020 : 13,828.41 = 5,829.06 : x
  2. Step 2: Convert to fraction form
    10,020/13,828.41 = 5,829.06/x
  3. Step 3: Cross multiply
    10,020x = 13,828.41 × 5,829.06
  4. Step 4: Simplify right side
    10,020x = 80,606,631.59
  5. Step 5: Solve for x
    x = 80,606,631.59/10,020
  6. Step 6: Final answer
    x = 8,044.57

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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.