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Finding the Fourth Proportional to 7,465.32, 10,302.50 and 4,481.32

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Solution

The fourth proportional to 7,465.32, 10,302.50 and 4,481.32 is: 6,184.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,465.32 : 10,302.50 = 4,481.32 : x
  2. Step 2: Convert to fraction form
    7,465.32/10,302.50 = 4,481.32/x
  3. Step 3: Cross multiply
    7,465.32x = 10,302.50 × 4,481.32
  4. Step 4: Simplify right side
    7,465.32x = 46,168,799.30
  5. Step 5: Solve for x
    x = 46,168,799.30/7,465.32
  6. Step 6: Final answer
    x = 6,184.44

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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.