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Finding the Fourth Proportional to 7,798.16, 10,761.72 and 4,261.72

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Solution

The fourth proportional to 7,798.16, 10,761.72 and 4,261.72 is: 5,881.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.16 : 10,761.72 = 4,261.72 : x
  2. Step 2: Convert to fraction form
    7,798.16/10,761.72 = 4,261.72/x
  3. Step 3: Cross multiply
    7,798.16x = 10,761.72 × 4,261.72
  4. Step 4: Simplify right side
    7,798.16x = 45,863,437.36
  5. Step 5: Solve for x
    x = 45,863,437.36/7,798.16
  6. Step 6: Final answer
    x = 5,881.32

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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.