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Finding the Fourth Proportional to 10,059.13, 13,880.41 and 5,581.81

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Solution

The fourth proportional to 10,059.13, 13,880.41 and 5,581.81 is: 7,702.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,059.13 : 13,880.41 = 5,581.81 : x
  2. Step 2: Convert to fraction form
    10,059.13/13,880.41 = 5,581.81/x
  3. Step 3: Cross multiply
    10,059.13x = 13,880.41 × 5,581.81
  4. Step 4: Simplify right side
    10,059.13x = 77,477,811.34
  5. Step 5: Solve for x
    x = 77,477,811.34/10,059.13
  6. Step 6: Final answer
    x = 7,702.24

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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.