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Finding the Fourth Proportional to 11,424.16, 15,762.92 and 6,705.68

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Solution

The fourth proportional to 11,424.16, 15,762.92 and 6,705.68 is: 9,252.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,424.16 : 15,762.92 = 6,705.68 : x
  2. Step 2: Convert to fraction form
    11,424.16/15,762.92 = 6,705.68/x
  3. Step 3: Cross multiply
    11,424.16x = 15,762.92 × 6,705.68
  4. Step 4: Simplify right side
    11,424.16x = 105,701,097.39
  5. Step 5: Solve for x
    x = 105,701,097.39/11,424.16
  6. Step 6: Final answer
    x = 9,252.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.