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Finding the Fourth Proportional to 11,438.48, 17,145 and 4,870.16

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Solution

The fourth proportional to 11,438.48, 17,145 and 4,870.16 is: 7,299.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,438.48 : 17,145 = 4,870.16 : x
  2. Step 2: Convert to fraction form
    11,438.48/17,145 = 4,870.16/x
  3. Step 3: Cross multiply
    11,438.48x = 17,145 × 4,870.16
  4. Step 4: Simplify right side
    11,438.48x = 83,498,893.20
  5. Step 5: Solve for x
    x = 83,498,893.20/11,438.48
  6. Step 6: Final answer
    x = 7,299.82

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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.