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Finding the Fourth Proportional to 10,967.23, 16,424.71 and 7,006.23

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Solution

The fourth proportional to 10,967.23, 16,424.71 and 7,006.23 is: 10,492.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.23 : 16,424.71 = 7,006.23 : x
  2. Step 2: Convert to fraction form
    10,967.23/16,424.71 = 7,006.23/x
  3. Step 3: Cross multiply
    10,967.23x = 16,424.71 × 7,006.23
  4. Step 4: Simplify right side
    10,967.23x = 115,075,295.94
  5. Step 5: Solve for x
    x = 115,075,295.94/10,967.23
  6. Step 6: Final answer
    x = 10,492.65

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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.