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Finding the Fourth Proportional to 8,017.50, 12,030.58 and 3,913.50

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Solution

The fourth proportional to 8,017.50, 12,030.58 and 3,913.50 is: 5,872.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,017.50 : 12,030.58 = 3,913.50 : x
  2. Step 2: Convert to fraction form
    8,017.50/12,030.58 = 3,913.50/x
  3. Step 3: Cross multiply
    8,017.50x = 12,030.58 × 3,913.50
  4. Step 4: Simplify right side
    8,017.50x = 47,081,674.83
  5. Step 5: Solve for x
    x = 47,081,674.83/8,017.50
  6. Step 6: Final answer
    x = 5,872.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.