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Finding the Fourth Proportional to 7,005.64, 10,507.36 and 4,196.04

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Solution

The fourth proportional to 7,005.64, 10,507.36 and 4,196.04 is: 6,293.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.64 : 10,507.36 = 4,196.04 : x
  2. Step 2: Convert to fraction form
    7,005.64/10,507.36 = 4,196.04/x
  3. Step 3: Cross multiply
    7,005.64x = 10,507.36 × 4,196.04
  4. Step 4: Simplify right side
    7,005.64x = 44,089,302.85
  5. Step 5: Solve for x
    x = 44,089,302.85/7,005.64
  6. Step 6: Final answer
    x = 6,293.40

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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.