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Finding the Fourth Proportional to 10,056.51, 13,878.62 and 5,808.36

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Solution

The fourth proportional to 10,056.51, 13,878.62 and 5,808.36 is: 8,015.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,056.51 : 13,878.62 = 5,808.36 : x
  2. Step 2: Convert to fraction form
    10,056.51/13,878.62 = 5,808.36/x
  3. Step 3: Cross multiply
    10,056.51x = 13,878.62 × 5,808.36
  4. Step 4: Simplify right side
    10,056.51x = 80,611,992.22
  5. Step 5: Solve for x
    x = 80,611,992.22/10,056.51
  6. Step 6: Final answer
    x = 8,015.90

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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.