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Finding the Fourth Proportional to 7,301.88, 10,076.40 and 4,159.08

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Solution

The fourth proportional to 7,301.88, 10,076.40 and 4,159.08 is: 5,739.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,301.88 : 10,076.40 = 4,159.08 : x
  2. Step 2: Convert to fraction form
    7,301.88/10,076.40 = 4,159.08/x
  3. Step 3: Cross multiply
    7,301.88x = 10,076.40 × 4,159.08
  4. Step 4: Simplify right side
    7,301.88x = 41,908,553.71
  5. Step 5: Solve for x
    x = 41,908,553.71/7,301.88
  6. Step 6: Final answer
    x = 5,739.42

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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.