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Finding the Fourth Proportional to 10,775.61, 16,162.74 and 4,532.31

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Solution

The fourth proportional to 10,775.61, 16,162.74 and 4,532.31 is: 6,798.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.61 : 16,162.74 = 4,532.31 : x
  2. Step 2: Convert to fraction form
    10,775.61/16,162.74 = 4,532.31/x
  3. Step 3: Cross multiply
    10,775.61x = 16,162.74 × 4,532.31
  4. Step 4: Simplify right side
    10,775.61x = 73,254,548.13
  5. Step 5: Solve for x
    x = 73,254,548.13/10,775.61
  6. Step 6: Final answer
    x = 6,798.18

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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.