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Finding the Fourth Proportional to 11,287.53, 15,588.33 and 9,533.07

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Solution

The fourth proportional to 11,287.53, 15,588.33 and 9,533.07 is: 13,165.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,287.53 : 15,588.33 = 9,533.07 : x
  2. Step 2: Convert to fraction form
    11,287.53/15,588.33 = 9,533.07/x
  3. Step 3: Cross multiply
    11,287.53x = 15,588.33 × 9,533.07
  4. Step 4: Simplify right side
    11,287.53x = 148,604,641.07
  5. Step 5: Solve for x
    x = 148,604,641.07/11,287.53
  6. Step 6: Final answer
    x = 13,165.38

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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.