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Finding the Fourth Proportional to 8,030.09, 12,047.70 and 3,870.47

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Solution

The fourth proportional to 8,030.09, 12,047.70 and 3,870.47 is: 5,806.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,030.09 : 12,047.70 = 3,870.47 : x
  2. Step 2: Convert to fraction form
    8,030.09/12,047.70 = 3,870.47/x
  3. Step 3: Cross multiply
    8,030.09x = 12,047.70 × 3,870.47
  4. Step 4: Simplify right side
    8,030.09x = 46,630,261.42
  5. Step 5: Solve for x
    x = 46,630,261.42/8,030.09
  6. Step 6: Final answer
    x = 5,806.94

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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.