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Finding the Fourth Proportional to 11,534.63, 15,911.16 and 7,284.18

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Solution

The fourth proportional to 11,534.63, 15,911.16 and 7,284.18 is: 10,047.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,534.63 : 15,911.16 = 7,284.18 : x
  2. Step 2: Convert to fraction form
    11,534.63/15,911.16 = 7,284.18/x
  3. Step 3: Cross multiply
    11,534.63x = 15,911.16 × 7,284.18
  4. Step 4: Simplify right side
    11,534.63x = 115,899,753.45
  5. Step 5: Solve for x
    x = 115,899,753.45/11,534.63
  6. Step 6: Final answer
    x = 10,047.98

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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.