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Finding the Fourth Proportional to 7,041.91, 10,561.16 and 3,534.06

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Solution

The fourth proportional to 7,041.91, 10,561.16 and 3,534.06 is: 5,300.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,041.91 : 10,561.16 = 3,534.06 : x
  2. Step 2: Convert to fraction form
    7,041.91/10,561.16 = 3,534.06/x
  3. Step 3: Cross multiply
    7,041.91x = 10,561.16 × 3,534.06
  4. Step 4: Simplify right side
    7,041.91x = 37,323,722.50
  5. Step 5: Solve for x
    x = 37,323,722.50/7,041.91
  6. Step 6: Final answer
    x = 5,300.23

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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.