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Finding the Fourth Proportional to 10,158.54, 14,005.35 and 7,323.54

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Solution

The fourth proportional to 10,158.54, 14,005.35 and 7,323.54 is: 10,096.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,158.54 : 14,005.35 = 7,323.54 : x
  2. Step 2: Convert to fraction form
    10,158.54/14,005.35 = 7,323.54/x
  3. Step 3: Cross multiply
    10,158.54x = 14,005.35 × 7,323.54
  4. Step 4: Simplify right side
    10,158.54x = 102,568,740.94
  5. Step 5: Solve for x
    x = 102,568,740.94/10,158.54
  6. Step 6: Final answer
    x = 10,096.80

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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.