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Finding the Fourth Proportional to 11,256.98, 15,536.57 and 6,544.00

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Solution

The fourth proportional to 11,256.98, 15,536.57 and 6,544.00 is: 9,031.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,256.98 : 15,536.57 = 6,544.00 : x
  2. Step 2: Convert to fraction form
    11,256.98/15,536.57 = 6,544.00/x
  3. Step 3: Cross multiply
    11,256.98x = 15,536.57 × 6,544.00
  4. Step 4: Simplify right side
    11,256.98x = 101,671,242.52
  5. Step 5: Solve for x
    x = 101,671,242.52/11,256.98
  6. Step 6: Final answer
    x = 9,031.84

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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.