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Finding the Fourth Proportional to 11,588.75, 15,986.58 and 7,332.63

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Solution

The fourth proportional to 11,588.75, 15,986.58 and 7,332.63 is: 10,115.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.75 : 15,986.58 = 7,332.63 : x
  2. Step 2: Convert to fraction form
    11,588.75/15,986.58 = 7,332.63/x
  3. Step 3: Cross multiply
    11,588.75x = 15,986.58 × 7,332.63
  4. Step 4: Simplify right side
    11,588.75x = 117,223,676.11
  5. Step 5: Solve for x
    x = 117,223,676.11/11,588.75
  6. Step 6: Final answer
    x = 10,115.30

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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.