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Finding the Fourth Proportional to 10,722.34, 14,795.76 and 6,006.52

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Solution

The fourth proportional to 10,722.34, 14,795.76 and 6,006.52 is: 8,288.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,722.34 : 14,795.76 = 6,006.52 : x
  2. Step 2: Convert to fraction form
    10,722.34/14,795.76 = 6,006.52/x
  3. Step 3: Cross multiply
    10,722.34x = 14,795.76 × 6,006.52
  4. Step 4: Simplify right side
    10,722.34x = 88,871,028.36
  5. Step 5: Solve for x
    x = 88,871,028.36/10,722.34
  6. Step 6: Final answer
    x = 8,288.40

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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.