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Finding the Fourth Proportional to 10,532.56, 15,804.06 and 5,852.56

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Solution

The fourth proportional to 10,532.56, 15,804.06 and 5,852.56 is: 8,781.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,532.56 : 15,804.06 = 5,852.56 : x
  2. Step 2: Convert to fraction form
    10,532.56/15,804.06 = 5,852.56/x
  3. Step 3: Cross multiply
    10,532.56x = 15,804.06 × 5,852.56
  4. Step 4: Simplify right side
    10,532.56x = 92,494,209.39
  5. Step 5: Solve for x
    x = 92,494,209.39/10,532.56
  6. Step 6: Final answer
    x = 8,781.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.