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Finding the Fourth Proportional to 6,275.76, 8,655.36 and 4,768.32

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Solution

The fourth proportional to 6,275.76, 8,655.36 and 4,768.32 is: 6,576.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.76 : 8,655.36 = 4,768.32 : x
  2. Step 2: Convert to fraction form
    6,275.76/8,655.36 = 4,768.32/x
  3. Step 3: Cross multiply
    6,275.76x = 8,655.36 × 4,768.32
  4. Step 4: Simplify right side
    6,275.76x = 41,271,526.20
  5. Step 5: Solve for x
    x = 41,271,526.20/6,275.76
  6. Step 6: Final answer
    x = 6,576.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.