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Finding the Fourth Proportional to 10,035.36, 13,848.72 and 6,055.68

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Solution

The fourth proportional to 10,035.36, 13,848.72 and 6,055.68 is: 8,356.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,035.36 : 13,848.72 = 6,055.68 : x
  2. Step 2: Convert to fraction form
    10,035.36/13,848.72 = 6,055.68/x
  3. Step 3: Cross multiply
    10,035.36x = 13,848.72 × 6,055.68
  4. Step 4: Simplify right side
    10,035.36x = 83,863,416.73
  5. Step 5: Solve for x
    x = 83,863,416.73/10,035.36
  6. Step 6: Final answer
    x = 8,356.79

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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.