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Finding the Fourth Proportional to 7,886.40, 11,804.99 and 5,808.75

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Solution

The fourth proportional to 7,886.40, 11,804.99 and 5,808.75 is: 8,695.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.40 : 11,804.99 = 5,808.75 : x
  2. Step 2: Convert to fraction form
    7,886.40/11,804.99 = 5,808.75/x
  3. Step 3: Cross multiply
    7,886.40x = 11,804.99 × 5,808.75
  4. Step 4: Simplify right side
    7,886.40x = 68,572,235.66
  5. Step 5: Solve for x
    x = 68,572,235.66/7,886.40
  6. Step 6: Final answer
    x = 8,695.00

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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.