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Finding the Fourth Proportional to 11,335.36, 15,611.52 and 9,762.88

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Solution

The fourth proportional to 11,335.36, 15,611.52 and 9,762.88 is: 13,445.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,335.36 : 15,611.52 = 9,762.88 : x
  2. Step 2: Convert to fraction form
    11,335.36/15,611.52 = 9,762.88/x
  3. Step 3: Cross multiply
    11,335.36x = 15,611.52 × 9,762.88
  4. Step 4: Simplify right side
    11,335.36x = 152,413,396.38
  5. Step 5: Solve for x
    x = 152,413,396.38/11,335.36
  6. Step 6: Final answer
    x = 13,445.84

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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.