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Finding the Fourth Proportional to 10,329.48, 15,495.30 and 6,842.16

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Solution

The fourth proportional to 10,329.48, 15,495.30 and 6,842.16 is: 10,263.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,329.48 : 15,495.30 = 6,842.16 : x
  2. Step 2: Convert to fraction form
    10,329.48/15,495.30 = 6,842.16/x
  3. Step 3: Cross multiply
    10,329.48x = 15,495.30 × 6,842.16
  4. Step 4: Simplify right side
    10,329.48x = 106,021,321.85
  5. Step 5: Solve for x
    x = 106,021,321.85/10,329.48
  6. Step 6: Final answer
    x = 10,263.96

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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.