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Finding the Fourth Proportional to 10,426.46, 15,627.08 and 7,289.32

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Solution

The fourth proportional to 10,426.46, 15,627.08 and 7,289.32 is: 10,925.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,426.46 : 15,627.08 = 7,289.32 : x
  2. Step 2: Convert to fraction form
    10,426.46/15,627.08 = 7,289.32/x
  3. Step 3: Cross multiply
    10,426.46x = 15,627.08 × 7,289.32
  4. Step 4: Simplify right side
    10,426.46x = 113,910,786.79
  5. Step 5: Solve for x
    x = 113,910,786.79/10,426.46
  6. Step 6: Final answer
    x = 10,925.16

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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.