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Finding the Fourth Proportional to 8,322.40, 11,484.08 and 4,596.16

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Solution

The fourth proportional to 8,322.40, 11,484.08 and 4,596.16 is: 6,342.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.40 : 11,484.08 = 4,596.16 : x
  2. Step 2: Convert to fraction form
    8,322.40/11,484.08 = 4,596.16/x
  3. Step 3: Cross multiply
    8,322.40x = 11,484.08 × 4,596.16
  4. Step 4: Simplify right side
    8,322.40x = 52,782,669.13
  5. Step 5: Solve for x
    x = 52,782,669.13/8,322.40
  6. Step 6: Final answer
    x = 6,342.24

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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.