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Finding the Fourth Proportional to 10,439.52, 14,420.34 and 7,782.32

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Solution

The fourth proportional to 10,439.52, 14,420.34 and 7,782.32 is: 10,749.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,439.52 : 14,420.34 = 7,782.32 : x
  2. Step 2: Convert to fraction form
    10,439.52/14,420.34 = 7,782.32/x
  3. Step 3: Cross multiply
    10,439.52x = 14,420.34 × 7,782.32
  4. Step 4: Simplify right side
    10,439.52x = 112,223,628.29
  5. Step 5: Solve for x
    x = 112,223,628.29/10,439.52
  6. Step 6: Final answer
    x = 10,749.88

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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.