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Finding the Fourth Proportional to 10,707.32, 14,775.73 and 5,927.20

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Solution

The fourth proportional to 10,707.32, 14,775.73 and 5,927.20 is: 8,179.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.32 : 14,775.73 = 5,927.20 : x
  2. Step 2: Convert to fraction form
    10,707.32/14,775.73 = 5,927.20/x
  3. Step 3: Cross multiply
    10,707.32x = 14,775.73 × 5,927.20
  4. Step 4: Simplify right side
    10,707.32x = 87,578,655.10
  5. Step 5: Solve for x
    x = 87,578,655.10/10,707.32
  6. Step 6: Final answer
    x = 8,179.32

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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.