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Finding the Fourth Proportional to 7,869.51, 10,811.34 and 7,041.20

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Solution

The fourth proportional to 7,869.51, 10,811.34 and 7,041.20 is: 9,673.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,869.51 : 10,811.34 = 7,041.20 : x
  2. Step 2: Convert to fraction form
    7,869.51/10,811.34 = 7,041.20/x
  3. Step 3: Cross multiply
    7,869.51x = 10,811.34 × 7,041.20
  4. Step 4: Simplify right side
    7,869.51x = 76,124,753.15
  5. Step 5: Solve for x
    x = 76,124,753.15/7,869.51
  6. Step 6: Final answer
    x = 9,673.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.