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Finding the Fourth Proportional to 8,303.02, 12,454.50 and 2,459.17

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Solution

The fourth proportional to 8,303.02, 12,454.50 and 2,459.17 is: 3,688.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,303.02 : 12,454.50 = 2,459.17 : x
  2. Step 2: Convert to fraction form
    8,303.02/12,454.50 = 2,459.17/x
  3. Step 3: Cross multiply
    8,303.02x = 12,454.50 × 2,459.17
  4. Step 4: Simplify right side
    8,303.02x = 30,627,732.77
  5. Step 5: Solve for x
    x = 30,627,732.77/8,303.02
  6. Step 6: Final answer
    x = 3,688.75

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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.