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Finding the Fourth Proportional to 8,312.16, 12,464.16 and 5,196.32

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Solution

The fourth proportional to 8,312.16, 12,464.16 and 5,196.32 is: 7,791.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.16 : 12,464.16 = 5,196.32 : x
  2. Step 2: Convert to fraction form
    8,312.16/12,464.16 = 5,196.32/x
  3. Step 3: Cross multiply
    8,312.16x = 12,464.16 × 5,196.32
  4. Step 4: Simplify right side
    8,312.16x = 64,767,763.89
  5. Step 5: Solve for x
    x = 64,767,763.89/8,312.16
  6. Step 6: Final answer
    x = 7,791.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.