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Finding the Fourth Proportional to 11,637.60, 17,457.12 and 5,788.32

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Solution

The fourth proportional to 11,637.60, 17,457.12 and 5,788.32 is: 8,682.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,637.60 : 17,457.12 = 5,788.32 : x
  2. Step 2: Convert to fraction form
    11,637.60/17,457.12 = 5,788.32/x
  3. Step 3: Cross multiply
    11,637.60x = 17,457.12 × 5,788.32
  4. Step 4: Simplify right side
    11,637.60x = 101,047,396.84
  5. Step 5: Solve for x
    x = 101,047,396.84/11,637.60
  6. Step 6: Final answer
    x = 8,682.84

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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.