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Finding the Fourth Proportional to 11,897.47, 17,846.32 and 4,875.68

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Solution

The fourth proportional to 11,897.47, 17,846.32 and 4,875.68 is: 7,313.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.47 : 17,846.32 = 4,875.68 : x
  2. Step 2: Convert to fraction form
    11,897.47/17,846.32 = 4,875.68/x
  3. Step 3: Cross multiply
    11,897.47x = 17,846.32 × 4,875.68
  4. Step 4: Simplify right side
    11,897.47x = 87,012,856.27
  5. Step 5: Solve for x
    x = 87,012,856.27/11,897.47
  6. Step 6: Final answer
    x = 7,313.56

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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.