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Finding the Fourth Proportional to 10,402.98, 15,597.18 and 3,828.32

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Solution

The fourth proportional to 10,402.98, 15,597.18 and 3,828.32 is: 5,739.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.98 : 15,597.18 = 3,828.32 : x
  2. Step 2: Convert to fraction form
    10,402.98/15,597.18 = 3,828.32/x
  3. Step 3: Cross multiply
    10,402.98x = 15,597.18 × 3,828.32
  4. Step 4: Simplify right side
    10,402.98x = 59,710,927.72
  5. Step 5: Solve for x
    x = 59,710,927.72/10,402.98
  6. Step 6: Final answer
    x = 5,739.79

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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.