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Finding the Fourth Proportional to 7,482.88, 10,324.16 and 4,497.63

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Solution

The fourth proportional to 7,482.88, 10,324.16 and 4,497.63 is: 6,205.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,482.88 : 10,324.16 = 4,497.63 : x
  2. Step 2: Convert to fraction form
    7,482.88/10,324.16 = 4,497.63/x
  3. Step 3: Cross multiply
    7,482.88x = 10,324.16 × 4,497.63
  4. Step 4: Simplify right side
    7,482.88x = 46,434,207.40
  5. Step 5: Solve for x
    x = 46,434,207.40/7,482.88
  6. Step 6: Final answer
    x = 6,205.39

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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.