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Finding the Fourth Proportional to 10,357.36, 14,297.93 and 6,107.02

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Solution

The fourth proportional to 10,357.36, 14,297.93 and 6,107.02 is: 8,430.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.36 : 14,297.93 = 6,107.02 : x
  2. Step 2: Convert to fraction form
    10,357.36/14,297.93 = 6,107.02/x
  3. Step 3: Cross multiply
    10,357.36x = 14,297.93 × 6,107.02
  4. Step 4: Simplify right side
    10,357.36x = 87,317,713.93
  5. Step 5: Solve for x
    x = 87,317,713.93/10,357.36
  6. Step 6: Final answer
    x = 8,430.50

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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.