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Finding the Fourth Proportional to 7,583.92, 11,383.98 and 4,303.42

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Solution

The fourth proportional to 7,583.92, 11,383.98 and 4,303.42 is: 6,459.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583.92 : 11,383.98 = 4,303.42 : x
  2. Step 2: Convert to fraction form
    7,583.92/11,383.98 = 4,303.42/x
  3. Step 3: Cross multiply
    7,583.92x = 11,383.98 × 4,303.42
  4. Step 4: Simplify right side
    7,583.92x = 48,990,047.21
  5. Step 5: Solve for x
    x = 48,990,047.21/7,583.92
  6. Step 6: Final answer
    x = 6,459.73

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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.