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Finding the Fourth Proportional to 7,602.51, 11,396 and 4,308.64

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Solution

The fourth proportional to 7,602.51, 11,396 and 4,308.64 is: 6,458.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.51 : 11,396 = 4,308.64 : x
  2. Step 2: Convert to fraction form
    7,602.51/11,396 = 4,308.64/x
  3. Step 3: Cross multiply
    7,602.51x = 11,396 × 4,308.64
  4. Step 4: Simplify right side
    7,602.51x = 49,101,261.44
  5. Step 5: Solve for x
    x = 49,101,261.44/7,602.51
  6. Step 6: Final answer
    x = 6,458.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.