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Finding the Fourth Proportional to 7,808.65, 11,717.71 and 3,128.02

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Solution

The fourth proportional to 7,808.65, 11,717.71 and 3,128.02 is: 4,693.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.65 : 11,717.71 = 3,128.02 : x
  2. Step 2: Convert to fraction form
    7,808.65/11,717.71 = 3,128.02/x
  3. Step 3: Cross multiply
    7,808.65x = 11,717.71 × 3,128.02
  4. Step 4: Simplify right side
    7,808.65x = 36,653,211.71
  5. Step 5: Solve for x
    x = 36,653,211.71/7,808.65
  6. Step 6: Final answer
    x = 4,693.92

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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.