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Finding the Fourth Proportional to 10,378.50, 14,322.33 and 6,652.50

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Solution

The fourth proportional to 10,378.50, 14,322.33 and 6,652.50 is: 9,180.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378.50 : 14,322.33 = 6,652.50 : x
  2. Step 2: Convert to fraction form
    10,378.50/14,322.33 = 6,652.50/x
  3. Step 3: Cross multiply
    10,378.50x = 14,322.33 × 6,652.50
  4. Step 4: Simplify right side
    10,378.50x = 95,279,300.33
  5. Step 5: Solve for x
    x = 95,279,300.33/10,378.50
  6. Step 6: Final answer
    x = 9,180.45

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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.