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Finding the Fourth Proportional to 10,816.64, 14,926.96 and 5,848.64

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Solution

The fourth proportional to 10,816.64, 14,926.96 and 5,848.64 is: 8,071.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,816.64 : 14,926.96 = 5,848.64 : x
  2. Step 2: Convert to fraction form
    10,816.64/14,926.96 = 5,848.64/x
  3. Step 3: Cross multiply
    10,816.64x = 14,926.96 × 5,848.64
  4. Step 4: Simplify right side
    10,816.64x = 87,302,415.33
  5. Step 5: Solve for x
    x = 87,302,415.33/10,816.64
  6. Step 6: Final answer
    x = 8,071.12

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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.