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Finding the Fourth Proportional to 10,580.58, 15,851.25 and 5,309.40

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Solution

The fourth proportional to 10,580.58, 15,851.25 and 5,309.40 is: 7,954.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.58 : 15,851.25 = 5,309.40 : x
  2. Step 2: Convert to fraction form
    10,580.58/15,851.25 = 5,309.40/x
  3. Step 3: Cross multiply
    10,580.58x = 15,851.25 × 5,309.40
  4. Step 4: Simplify right side
    10,580.58x = 84,160,626.75
  5. Step 5: Solve for x
    x = 84,160,626.75/10,580.58
  6. Step 6: Final answer
    x = 7,954.25

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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.