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Finding the Fourth Proportional to 7,713.30, 11,569.89 and 1,869.93

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Solution

The fourth proportional to 7,713.30, 11,569.89 and 1,869.93 is: 2,804.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.30 : 11,569.89 = 1,869.93 : x
  2. Step 2: Convert to fraction form
    7,713.30/11,569.89 = 1,869.93/x
  3. Step 3: Cross multiply
    7,713.30x = 11,569.89 × 1,869.93
  4. Step 4: Simplify right side
    7,713.30x = 21,634,884.41
  5. Step 5: Solve for x
    x = 21,634,884.41/7,713.30
  6. Step 6: Final answer
    x = 2,804.88

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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.