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Finding the Fourth Proportional to 7,302.89, 10,077.90 and 4,159.06

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Solution

The fourth proportional to 7,302.89, 10,077.90 and 4,159.06 is: 5,739.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,302.89 : 10,077.90 = 4,159.06 : x
  2. Step 2: Convert to fraction form
    7,302.89/10,077.90 = 4,159.06/x
  3. Step 3: Cross multiply
    7,302.89x = 10,077.90 × 4,159.06
  4. Step 4: Simplify right side
    7,302.89x = 41,914,590.77
  5. Step 5: Solve for x
    x = 41,914,590.77/7,302.89
  6. Step 6: Final answer
    x = 5,739.45

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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.