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Finding the Fourth Proportional to 8,312.04, 11,460.24 and 5,322.96

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Solution

The fourth proportional to 8,312.04, 11,460.24 and 5,322.96 is: 7,339.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.04 : 11,460.24 = 5,322.96 : x
  2. Step 2: Convert to fraction form
    8,312.04/11,460.24 = 5,322.96/x
  3. Step 3: Cross multiply
    8,312.04x = 11,460.24 × 5,322.96
  4. Step 4: Simplify right side
    8,312.04x = 61,002,399.11
  5. Step 5: Solve for x
    x = 61,002,399.11/8,312.04
  6. Step 6: Final answer
    x = 7,339.04

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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.