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Finding the Fourth Proportional to 10,173.55, 14,038.27 and 5,696.95

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Solution

The fourth proportional to 10,173.55, 14,038.27 and 5,696.95 is: 7,861.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,173.55 : 14,038.27 = 5,696.95 : x
  2. Step 2: Convert to fraction form
    10,173.55/14,038.27 = 5,696.95/x
  3. Step 3: Cross multiply
    10,173.55x = 14,038.27 × 5,696.95
  4. Step 4: Simplify right side
    10,173.55x = 79,975,322.28
  5. Step 5: Solve for x
    x = 79,975,322.28/10,173.55
  6. Step 6: Final answer
    x = 7,861.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.