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Finding the Fourth Proportional to 7,006.86, 10,507.67 and 2,326.01

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Solution

The fourth proportional to 7,006.86, 10,507.67 and 2,326.01 is: 3,488.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.86 : 10,507.67 = 2,326.01 : x
  2. Step 2: Convert to fraction form
    7,006.86/10,507.67 = 2,326.01/x
  3. Step 3: Cross multiply
    7,006.86x = 10,507.67 × 2,326.01
  4. Step 4: Simplify right side
    7,006.86x = 24,440,881.33
  5. Step 5: Solve for x
    x = 24,440,881.33/7,006.86
  6. Step 6: Final answer
    x = 3,488.14

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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.