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Finding the Fourth Proportional to 10,967.90, 16,442.63 and 4,390.50

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Solution

The fourth proportional to 10,967.90, 16,442.63 and 4,390.50 is: 6,582.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.90 : 16,442.63 = 4,390.50 : x
  2. Step 2: Convert to fraction form
    10,967.90/16,442.63 = 4,390.50/x
  3. Step 3: Cross multiply
    10,967.90x = 16,442.63 × 4,390.50
  4. Step 4: Simplify right side
    10,967.90x = 72,191,367.02
  5. Step 5: Solve for x
    x = 72,191,367.02/10,967.90
  6. Step 6: Final answer
    x = 6,582.06

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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.