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Finding the Fourth Proportional to 7,484.40, 11,230.65 and 3,102.30

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Solution

The fourth proportional to 7,484.40, 11,230.65 and 3,102.30 is: 4,655.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,484.40 : 11,230.65 = 3,102.30 : x
  2. Step 2: Convert to fraction form
    7,484.40/11,230.65 = 3,102.30/x
  3. Step 3: Cross multiply
    7,484.40x = 11,230.65 × 3,102.30
  4. Step 4: Simplify right side
    7,484.40x = 34,840,845.50
  5. Step 5: Solve for x
    x = 34,840,845.50/7,484.40
  6. Step 6: Final answer
    x = 4,655.13

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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.