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Finding the Fourth Proportional to 11,938.47, 16,468.92 and 7,154.61

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Solution

The fourth proportional to 11,938.47, 16,468.92 and 7,154.61 is: 9,869.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,938.47 : 16,468.92 = 7,154.61 : x
  2. Step 2: Convert to fraction form
    11,938.47/16,468.92 = 7,154.61/x
  3. Step 3: Cross multiply
    11,938.47x = 16,468.92 × 7,154.61
  4. Step 4: Simplify right side
    11,938.47x = 117,828,699.72
  5. Step 5: Solve for x
    x = 117,828,699.72/11,938.47
  6. Step 6: Final answer
    x = 9,869.67

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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.