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Finding the Fourth Proportional to 8,024.40, 12,030.84 and 4,125.60

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Solution

The fourth proportional to 8,024.40, 12,030.84 and 4,125.60 is: 6,185.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024.40 : 12,030.84 = 4,125.60 : x
  2. Step 2: Convert to fraction form
    8,024.40/12,030.84 = 4,125.60/x
  3. Step 3: Cross multiply
    8,024.40x = 12,030.84 × 4,125.60
  4. Step 4: Simplify right side
    8,024.40x = 49,634,433.50
  5. Step 5: Solve for x
    x = 49,634,433.50/8,024.40
  6. Step 6: Final answer
    x = 6,185.44

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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.