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Finding the Fourth Proportional to 10,765.68, 14,852.07 and 6,571.50

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Solution

The fourth proportional to 10,765.68, 14,852.07 and 6,571.50 is: 9,065.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.68 : 14,852.07 = 6,571.50 : x
  2. Step 2: Convert to fraction form
    10,765.68/14,852.07 = 6,571.50/x
  3. Step 3: Cross multiply
    10,765.68x = 14,852.07 × 6,571.50
  4. Step 4: Simplify right side
    10,765.68x = 97,600,378.01
  5. Step 5: Solve for x
    x = 97,600,378.01/10,765.68
  6. Step 6: Final answer
    x = 9,065.88

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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.