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Finding the Fourth Proportional to 10,430.76, 14,383.34 and 8,528.12

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Solution

The fourth proportional to 10,430.76, 14,383.34 and 8,528.12 is: 11,759.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.76 : 14,383.34 = 8,528.12 : x
  2. Step 2: Convert to fraction form
    10,430.76/14,383.34 = 8,528.12/x
  3. Step 3: Cross multiply
    10,430.76x = 14,383.34 × 8,528.12
  4. Step 4: Simplify right side
    10,430.76x = 122,662,849.52
  5. Step 5: Solve for x
    x = 122,662,849.52/10,430.76
  6. Step 6: Final answer
    x = 11,759.72

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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.