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Finding the Fourth Proportional to 11,897.25, 17,846.00 and 4,875.46

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Solution

The fourth proportional to 11,897.25, 17,846.00 and 4,875.46 is: 7,313.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.25 : 17,846.00 = 4,875.46 : x
  2. Step 2: Convert to fraction form
    11,897.25/17,846.00 = 4,875.46/x
  3. Step 3: Cross multiply
    11,897.25x = 17,846.00 × 4,875.46
  4. Step 4: Simplify right side
    11,897.25x = 87,007,345.55
  5. Step 5: Solve for x
    x = 87,007,345.55/11,897.25
  6. Step 6: Final answer
    x = 7,313.23

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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.