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Finding the Fourth Proportional to 11,291.34, 15,594.84 and 7,700.16

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Solution

The fourth proportional to 11,291.34, 15,594.84 and 7,700.16 is: 10,634.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,291.34 : 15,594.84 = 7,700.16 : x
  2. Step 2: Convert to fraction form
    11,291.34/15,594.84 = 7,700.16/x
  3. Step 3: Cross multiply
    11,291.34x = 15,594.84 × 7,700.16
  4. Step 4: Simplify right side
    11,291.34x = 120,082,763.17
  5. Step 5: Solve for x
    x = 120,082,763.17/11,291.34
  6. Step 6: Final answer
    x = 10,634.94

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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.