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Finding the Fourth Proportional to 10,076.66, 13,904.73 and 5,599.69

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Solution

The fourth proportional to 10,076.66, 13,904.73 and 5,599.69 is: 7,726.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,076.66 : 13,904.73 = 5,599.69 : x
  2. Step 2: Convert to fraction form
    10,076.66/13,904.73 = 5,599.69/x
  3. Step 3: Cross multiply
    10,076.66x = 13,904.73 × 5,599.69
  4. Step 4: Simplify right side
    10,076.66x = 77,862,181.15
  5. Step 5: Solve for x
    x = 77,862,181.15/10,076.66
  6. Step 6: Final answer
    x = 7,726.98

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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.