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Finding the Fourth Proportional to 11,707.60, 17,561.41 and 4,782.10

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Solution

The fourth proportional to 11,707.60, 17,561.41 and 4,782.10 is: 7,173.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.60 : 17,561.41 = 4,782.10 : x
  2. Step 2: Convert to fraction form
    11,707.60/17,561.41 = 4,782.10/x
  3. Step 3: Cross multiply
    11,707.60x = 17,561.41 × 4,782.10
  4. Step 4: Simplify right side
    11,707.60x = 83,980,418.76
  5. Step 5: Solve for x
    x = 83,980,418.76/11,707.60
  6. Step 6: Final answer
    x = 7,173.15

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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.