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Finding the Fourth Proportional to 10,571.50, 14,585.34 and 7,035.28

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Solution

The fourth proportional to 10,571.50, 14,585.34 and 7,035.28 is: 9,706.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.50 : 14,585.34 = 7,035.28 : x
  2. Step 2: Convert to fraction form
    10,571.50/14,585.34 = 7,035.28/x
  3. Step 3: Cross multiply
    10,571.50x = 14,585.34 × 7,035.28
  4. Step 4: Simplify right side
    10,571.50x = 102,611,950.80
  5. Step 5: Solve for x
    x = 102,611,950.80/10,571.50
  6. Step 6: Final answer
    x = 9,706.47

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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.