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Finding the Fourth Proportional to 10,938.16, 16,321.88 and 9,760.05

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Solution

The fourth proportional to 10,938.16, 16,321.88 and 9,760.05 is: 14,563.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,938.16 : 16,321.88 = 9,760.05 : x
  2. Step 2: Convert to fraction form
    10,938.16/16,321.88 = 9,760.05/x
  3. Step 3: Cross multiply
    10,938.16x = 16,321.88 × 9,760.05
  4. Step 4: Simplify right side
    10,938.16x = 159,302,364.89
  5. Step 5: Solve for x
    x = 159,302,364.89/10,938.16
  6. Step 6: Final answer
    x = 14,563.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.