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Finding the Fourth Proportional to 27,430.60, 41,147.49 and 7,710.69

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Solution

The fourth proportional to 27,430.60, 41,147.49 and 7,710.69 is: 11,566.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,430.60 : 41,147.49 = 7,710.69 : x
  2. Step 2: Convert to fraction form
    27,430.60/41,147.49 = 7,710.69/x
  3. Step 3: Cross multiply
    27,430.60x = 41,147.49 × 7,710.69
  4. Step 4: Simplify right side
    27,430.60x = 317,275,539.67
  5. Step 5: Solve for x
    x = 317,275,539.67/27,430.60
  6. Step 6: Final answer
    x = 11,566.48

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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.