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Finding the Fourth Proportional to 10,041, 13,856.58 and 5,852.04

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Solution

The fourth proportional to 10,041, 13,856.58 and 5,852.04 is: 8,075.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,041 : 13,856.58 = 5,852.04 : x
  2. Step 2: Convert to fraction form
    10,041/13,856.58 = 5,852.04/x
  3. Step 3: Cross multiply
    10,041x = 13,856.58 × 5,852.04
  4. Step 4: Simplify right side
    10,041x = 81,089,260.42
  5. Step 5: Solve for x
    x = 81,089,260.42/10,041
  6. Step 6: Final answer
    x = 8,075.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.