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Finding the Fourth Proportional to 11,434.48, 17,152.80 and 4,038.16

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Solution

The fourth proportional to 11,434.48, 17,152.80 and 4,038.16 is: 6,057.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,434.48 : 17,152.80 = 4,038.16 : x
  2. Step 2: Convert to fraction form
    11,434.48/17,152.80 = 4,038.16/x
  3. Step 3: Cross multiply
    11,434.48x = 17,152.80 × 4,038.16
  4. Step 4: Simplify right side
    11,434.48x = 69,265,750.85
  5. Step 5: Solve for x
    x = 69,265,750.85/11,434.48
  6. Step 6: Final answer
    x = 6,057.62

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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.