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Finding the Fourth Proportional to 11,333.94, 15,648.15 and 7,302.57

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Solution

The fourth proportional to 11,333.94, 15,648.15 and 7,302.57 is: 10,082.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,333.94 : 15,648.15 = 7,302.57 : x
  2. Step 2: Convert to fraction form
    11,333.94/15,648.15 = 7,302.57/x
  3. Step 3: Cross multiply
    11,333.94x = 15,648.15 × 7,302.57
  4. Step 4: Simplify right side
    11,333.94x = 114,271,710.75
  5. Step 5: Solve for x
    x = 114,271,710.75/11,333.94
  6. Step 6: Final answer
    x = 10,082.26

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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.