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Finding the Fourth Proportional to 11,505.65, 15,887.95 and 7,264.35

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Solution

The fourth proportional to 11,505.65, 15,887.95 and 7,264.35 is: 10,031.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,505.65 : 15,887.95 = 7,264.35 : x
  2. Step 2: Convert to fraction form
    11,505.65/15,887.95 = 7,264.35/x
  3. Step 3: Cross multiply
    11,505.65x = 15,887.95 × 7,264.35
  4. Step 4: Simplify right side
    11,505.65x = 115,415,611.42
  5. Step 5: Solve for x
    x = 115,415,611.42/11,505.65
  6. Step 6: Final answer
    x = 10,031.22

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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.