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Finding the Fourth Proportional to 7,870.86, 11,803.14 and 3,485.34

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Solution

The fourth proportional to 7,870.86, 11,803.14 and 3,485.34 is: 5,226.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.86 : 11,803.14 = 3,485.34 : x
  2. Step 2: Convert to fraction form
    7,870.86/11,803.14 = 3,485.34/x
  3. Step 3: Cross multiply
    7,870.86x = 11,803.14 × 3,485.34
  4. Step 4: Simplify right side
    7,870.86x = 41,137,955.97
  5. Step 5: Solve for x
    x = 41,137,955.97/7,870.86
  6. Step 6: Final answer
    x = 5,226.62

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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.