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Finding the Fourth Proportional to 10,330.88, 15,449.00 and 7,700.16

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Solution

The fourth proportional to 10,330.88, 15,449.00 and 7,700.16 is: 11,514.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,330.88 : 15,449.00 = 7,700.16 : x
  2. Step 2: Convert to fraction form
    10,330.88/15,449.00 = 7,700.16/x
  3. Step 3: Cross multiply
    10,330.88x = 15,449.00 × 7,700.16
  4. Step 4: Simplify right side
    10,330.88x = 118,959,791.27
  5. Step 5: Solve for x
    x = 118,959,791.27/10,330.88
  6. Step 6: Final answer
    x = 11,514.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.