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Finding the Fourth Proportional to 10,079, 13,907.91 and 5,829.42

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Solution

The fourth proportional to 10,079, 13,907.91 and 5,829.42 is: 8,043.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,079 : 13,907.91 = 5,829.42 : x
  2. Step 2: Convert to fraction form
    10,079/13,907.91 = 5,829.42/x
  3. Step 3: Cross multiply
    10,079x = 13,907.91 × 5,829.42
  4. Step 4: Simplify right side
    10,079x = 81,075,048.71
  5. Step 5: Solve for x
    x = 81,075,048.71/10,079
  6. Step 6: Final answer
    x = 8,043.96

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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.