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Finding the Fourth Proportional to 11,303.85, 15,597.41 and 7,532.64

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Solution

The fourth proportional to 11,303.85, 15,597.41 and 7,532.64 is: 10,393.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,303.85 : 15,597.41 = 7,532.64 : x
  2. Step 2: Convert to fraction form
    11,303.85/15,597.41 = 7,532.64/x
  3. Step 3: Cross multiply
    11,303.85x = 15,597.41 × 7,532.64
  4. Step 4: Simplify right side
    11,303.85x = 117,489,636.80
  5. Step 5: Solve for x
    x = 117,489,636.80/11,303.85
  6. Step 6: Final answer
    x = 10,393.78

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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.