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Finding the Fourth Proportional to 8,041.84, 12,053.16 and 4,581.36

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Solution

The fourth proportional to 8,041.84, 12,053.16 and 4,581.36 is: 6,866.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,041.84 : 12,053.16 = 4,581.36 : x
  2. Step 2: Convert to fraction form
    8,041.84/12,053.16 = 4,581.36/x
  3. Step 3: Cross multiply
    8,041.84x = 12,053.16 × 4,581.36
  4. Step 4: Simplify right side
    8,041.84x = 55,219,865.10
  5. Step 5: Solve for x
    x = 55,219,865.10/8,041.84
  6. Step 6: Final answer
    x = 6,866.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.