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Finding the Fourth Proportional to 10,356.09, 15,534.05 and 6,861.75

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Solution

The fourth proportional to 10,356.09, 15,534.05 and 6,861.75 is: 10,292.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.09 : 15,534.05 = 6,861.75 : x
  2. Step 2: Convert to fraction form
    10,356.09/15,534.05 = 6,861.75/x
  3. Step 3: Cross multiply
    10,356.09x = 15,534.05 × 6,861.75
  4. Step 4: Simplify right side
    10,356.09x = 106,590,733.28
  5. Step 5: Solve for x
    x = 106,590,733.28/10,356.09
  6. Step 6: Final answer
    x = 10,292.57

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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.