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Finding the Fourth Proportional to 7,905.30, 10,909.72 and 4,718.22

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Solution

The fourth proportional to 7,905.30, 10,909.72 and 4,718.22 is: 6,511.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,905.30 : 10,909.72 = 4,718.22 : x
  2. Step 2: Convert to fraction form
    7,905.30/10,909.72 = 4,718.22/x
  3. Step 3: Cross multiply
    7,905.30x = 10,909.72 × 4,718.22
  4. Step 4: Simplify right side
    7,905.30x = 51,474,459.10
  5. Step 5: Solve for x
    x = 51,474,459.10/7,905.30
  6. Step 6: Final answer
    x = 6,511.39

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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.