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Finding the Fourth Proportional to 7,935.80, 11,904.06 and 4,047.80

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Solution

The fourth proportional to 7,935.80, 11,904.06 and 4,047.80 is: 6,071.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,935.80 : 11,904.06 = 4,047.80 : x
  2. Step 2: Convert to fraction form
    7,935.80/11,904.06 = 4,047.80/x
  3. Step 3: Cross multiply
    7,935.80x = 11,904.06 × 4,047.80
  4. Step 4: Simplify right side
    7,935.80x = 48,185,254.07
  5. Step 5: Solve for x
    x = 48,185,254.07/7,935.80
  6. Step 6: Final answer
    x = 6,071.88

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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.