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Finding the Fourth Proportional to 10,496.32, 14,484.08 and 6,516.68

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Solution

The fourth proportional to 10,496.32, 14,484.08 and 6,516.68 is: 8,992.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.32 : 14,484.08 = 6,516.68 : x
  2. Step 2: Convert to fraction form
    10,496.32/14,484.08 = 6,516.68/x
  3. Step 3: Cross multiply
    10,496.32x = 14,484.08 × 6,516.68
  4. Step 4: Simplify right side
    10,496.32x = 94,388,058.33
  5. Step 5: Solve for x
    x = 94,388,058.33/10,496.32
  6. Step 6: Final answer
    x = 8,992.49

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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.