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Finding the Fourth Proportional to 10,077.07, 13,904.22 and 5,599.90

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Solution

The fourth proportional to 10,077.07, 13,904.22 and 5,599.90 is: 7,726.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.07 : 13,904.22 = 5,599.90 : x
  2. Step 2: Convert to fraction form
    10,077.07/13,904.22 = 5,599.90/x
  3. Step 3: Cross multiply
    10,077.07x = 13,904.22 × 5,599.90
  4. Step 4: Simplify right side
    10,077.07x = 77,862,241.58
  5. Step 5: Solve for x
    x = 77,862,241.58/10,077.07
  6. Step 6: Final answer
    x = 7,726.67

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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.