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Finding the Fourth Proportional to 7,312.64, 10,090.88 and 4,168.32

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Solution

The fourth proportional to 7,312.64, 10,090.88 and 4,168.32 is: 5,751.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312.64 : 10,090.88 = 4,168.32 : x
  2. Step 2: Convert to fraction form
    7,312.64/10,090.88 = 4,168.32/x
  3. Step 3: Cross multiply
    7,312.64x = 10,090.88 × 4,168.32
  4. Step 4: Simplify right side
    7,312.64x = 42,062,016.92
  5. Step 5: Solve for x
    x = 42,062,016.92/7,312.64
  6. Step 6: Final answer
    x = 5,751.96

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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.