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Finding the Fourth Proportional to 7,801.60, 10,744.32 and 7,301.29

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Solution

The fourth proportional to 7,801.60, 10,744.32 and 7,301.29 is: 10,055.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.60 : 10,744.32 = 7,301.29 : x
  2. Step 2: Convert to fraction form
    7,801.60/10,744.32 = 7,301.29/x
  3. Step 3: Cross multiply
    7,801.60x = 10,744.32 × 7,301.29
  4. Step 4: Simplify right side
    7,801.60x = 78,447,396.17
  5. Step 5: Solve for x
    x = 78,447,396.17/7,801.60
  6. Step 6: Final answer
    x = 10,055.30

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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.