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Finding the Fourth Proportional to 10,430.60, 14,394.24 and 6,183.74

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Solution

The fourth proportional to 10,430.60, 14,394.24 and 6,183.74 is: 8,533.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.60 : 14,394.24 = 6,183.74 : x
  2. Step 2: Convert to fraction form
    10,430.60/14,394.24 = 6,183.74/x
  3. Step 3: Cross multiply
    10,430.60x = 14,394.24 × 6,183.74
  4. Step 4: Simplify right side
    10,430.60x = 89,010,169.51
  5. Step 5: Solve for x
    x = 89,010,169.51/10,430.60
  6. Step 6: Final answer
    x = 8,533.56

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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.