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Finding the Fourth Proportional to 11,041.74, 16,562.61 and 6,421.50

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Solution

The fourth proportional to 11,041.74, 16,562.61 and 6,421.50 is: 9,632.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,041.74 : 16,562.61 = 6,421.50 : x
  2. Step 2: Convert to fraction form
    11,041.74/16,562.61 = 6,421.50/x
  3. Step 3: Cross multiply
    11,041.74x = 16,562.61 × 6,421.50
  4. Step 4: Simplify right side
    11,041.74x = 106,356,800.12
  5. Step 5: Solve for x
    x = 106,356,800.12/11,041.74
  6. Step 6: Final answer
    x = 9,632.25

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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.