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Finding the Fourth Proportional to 7,420.98, 11,035.94 and 7,187.34

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Solution

The fourth proportional to 7,420.98, 11,035.94 and 7,187.34 is: 10,688.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,420.98 : 11,035.94 = 7,187.34 : x
  2. Step 2: Convert to fraction form
    7,420.98/11,035.94 = 7,187.34/x
  3. Step 3: Cross multiply
    7,420.98x = 11,035.94 × 7,187.34
  4. Step 4: Simplify right side
    7,420.98x = 79,319,017.06
  5. Step 5: Solve for x
    x = 79,319,017.06/7,420.98
  6. Step 6: Final answer
    x = 10,688.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.