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Finding the Fourth Proportional to 6,788.34, 10,114.38 and 6,051.78

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Solution

The fourth proportional to 6,788.34, 10,114.38 and 6,051.78 is: 9,016.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,788.34 : 10,114.38 = 6,051.78 : x
  2. Step 2: Convert to fraction form
    6,788.34/10,114.38 = 6,051.78/x
  3. Step 3: Cross multiply
    6,788.34x = 10,114.38 × 6,051.78
  4. Step 4: Simplify right side
    6,788.34x = 61,210,002.60
  5. Step 5: Solve for x
    x = 61,210,002.60/6,788.34
  6. Step 6: Final answer
    x = 9,016.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.