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Finding the Fourth Proportional to 10,571.34, 14,580 and 7,217.94

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Solution

The fourth proportional to 10,571.34, 14,580 and 7,217.94 is: 9,954.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.34 : 14,580 = 7,217.94 : x
  2. Step 2: Convert to fraction form
    10,571.34/14,580 = 7,217.94/x
  3. Step 3: Cross multiply
    10,571.34x = 14,580 × 7,217.94
  4. Step 4: Simplify right side
    10,571.34x = 105,237,565.20
  5. Step 5: Solve for x
    x = 105,237,565.20/10,571.34
  6. Step 6: Final answer
    x = 9,954.99

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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.