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Finding the Fourth Proportional to 10,256.73, 14,152.93 and 6,007.57

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Solution

The fourth proportional to 10,256.73, 14,152.93 and 6,007.57 is: 8,289.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256.73 : 14,152.93 = 6,007.57 : x
  2. Step 2: Convert to fraction form
    10,256.73/14,152.93 = 6,007.57/x
  3. Step 3: Cross multiply
    10,256.73x = 14,152.93 × 6,007.57
  4. Step 4: Simplify right side
    10,256.73x = 85,024,667.28
  5. Step 5: Solve for x
    x = 85,024,667.28/10,256.73
  6. Step 6: Final answer
    x = 8,289.65

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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.