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Finding the Fourth Proportional to 7,215, 10,823.52 and 2,830.08

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Solution

The fourth proportional to 7,215, 10,823.52 and 2,830.08 is: 4,245.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,215 : 10,823.52 = 2,830.08 : x
  2. Step 2: Convert to fraction form
    7,215/10,823.52 = 2,830.08/x
  3. Step 3: Cross multiply
    7,215x = 10,823.52 × 2,830.08
  4. Step 4: Simplify right side
    7,215x = 30,631,427.48
  5. Step 5: Solve for x
    x = 30,631,427.48/7,215
  6. Step 6: Final answer
    x = 4,245.52

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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.