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Finding the Fourth Proportional to 10,526.67, 15,787.74 and 3,953.34

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Solution

The fourth proportional to 10,526.67, 15,787.74 and 3,953.34 is: 5,929.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,526.67 : 15,787.74 = 3,953.34 : x
  2. Step 2: Convert to fraction form
    10,526.67/15,787.74 = 3,953.34/x
  3. Step 3: Cross multiply
    10,526.67x = 15,787.74 × 3,953.34
  4. Step 4: Simplify right side
    10,526.67x = 62,414,304.05
  5. Step 5: Solve for x
    x = 62,414,304.05/10,526.67
  6. Step 6: Final answer
    x = 5,929.16

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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.