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Finding the Fourth Proportional to 8,130.61, 12,203.48 and 3,203.65

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Solution

The fourth proportional to 8,130.61, 12,203.48 and 3,203.65 is: 4,808.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.61 : 12,203.48 = 3,203.65 : x
  2. Step 2: Convert to fraction form
    8,130.61/12,203.48 = 3,203.65/x
  3. Step 3: Cross multiply
    8,130.61x = 12,203.48 × 3,203.65
  4. Step 4: Simplify right side
    8,130.61x = 39,095,678.70
  5. Step 5: Solve for x
    x = 39,095,678.70/8,130.61
  6. Step 6: Final answer
    x = 4,808.46

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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.