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Finding the Fourth Proportional to 10,301.94, 15,450.84 and 6,592.95

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Solution

The fourth proportional to 10,301.94, 15,450.84 and 6,592.95 is: 9,888.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,301.94 : 15,450.84 = 6,592.95 : x
  2. Step 2: Convert to fraction form
    10,301.94/15,450.84 = 6,592.95/x
  3. Step 3: Cross multiply
    10,301.94x = 15,450.84 × 6,592.95
  4. Step 4: Simplify right side
    10,301.94x = 101,866,615.58
  5. Step 5: Solve for x
    x = 101,866,615.58/10,301.94
  6. Step 6: Final answer
    x = 9,888.10

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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.