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Finding the Fourth Proportional to 10,938.18, 16,403.76 and 4,696.50

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Solution

The fourth proportional to 10,938.18, 16,403.76 and 4,696.50 is: 7,043.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,938.18 : 16,403.76 = 4,696.50 : x
  2. Step 2: Convert to fraction form
    10,938.18/16,403.76 = 4,696.50/x
  3. Step 3: Cross multiply
    10,938.18x = 16,403.76 × 4,696.50
  4. Step 4: Simplify right side
    10,938.18x = 77,040,258.84
  5. Step 5: Solve for x
    x = 77,040,258.84/10,938.18
  6. Step 6: Final answer
    x = 7,043.24

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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.