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Finding the Fourth Proportional to 7,582, 11,362.02 and 4,288.12

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Solution

The fourth proportional to 7,582, 11,362.02 and 4,288.12 is: 6,425.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582 : 11,362.02 = 4,288.12 : x
  2. Step 2: Convert to fraction form
    7,582/11,362.02 = 4,288.12/x
  3. Step 3: Cross multiply
    7,582x = 11,362.02 × 4,288.12
  4. Step 4: Simplify right side
    7,582x = 48,721,705.20
  5. Step 5: Solve for x
    x = 48,721,705.20/7,582
  6. Step 6: Final answer
    x = 6,425.97

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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.