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Finding the Fourth Proportional to 10,842.16, 16,252.06 and 5,288.65

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Solution

The fourth proportional to 10,842.16, 16,252.06 and 5,288.65 is: 7,927.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.16 : 16,252.06 = 5,288.65 : x
  2. Step 2: Convert to fraction form
    10,842.16/16,252.06 = 5,288.65/x
  3. Step 3: Cross multiply
    10,842.16x = 16,252.06 × 5,288.65
  4. Step 4: Simplify right side
    10,842.16x = 85,951,457.12
  5. Step 5: Solve for x
    x = 85,951,457.12/10,842.16
  6. Step 6: Final answer
    x = 7,927.52

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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.