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Finding the Fourth Proportional to 7,905.22, 10,909.20 and 4,368.40

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Solution

The fourth proportional to 7,905.22, 10,909.20 and 4,368.40 is: 6,028.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,905.22 : 10,909.20 = 4,368.40 : x
  2. Step 2: Convert to fraction form
    7,905.22/10,909.20 = 4,368.40/x
  3. Step 3: Cross multiply
    7,905.22x = 10,909.20 × 4,368.40
  4. Step 4: Simplify right side
    7,905.22x = 47,655,749.28
  5. Step 5: Solve for x
    x = 47,655,749.28/7,905.22
  6. Step 6: Final answer
    x = 6,028.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.