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Finding the Fourth Proportional to 6,953.86, 10,428.95 and 3,006.49

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Solution

The fourth proportional to 6,953.86, 10,428.95 and 3,006.49 is: 4,508.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.86 : 10,428.95 = 3,006.49 : x
  2. Step 2: Convert to fraction form
    6,953.86/10,428.95 = 3,006.49/x
  3. Step 3: Cross multiply
    6,953.86x = 10,428.95 × 3,006.49
  4. Step 4: Simplify right side
    6,953.86x = 31,354,533.89
  5. Step 5: Solve for x
    x = 31,354,533.89/6,953.86
  6. Step 6: Final answer
    x = 4,508.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.