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Finding the Fourth Proportional to 10,485.51, 15,716.34 and 5,480.16

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Solution

The fourth proportional to 10,485.51, 15,716.34 and 5,480.16 is: 8,214.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.51 : 15,716.34 = 5,480.16 : x
  2. Step 2: Convert to fraction form
    10,485.51/15,716.34 = 5,480.16/x
  3. Step 3: Cross multiply
    10,485.51x = 15,716.34 × 5,480.16
  4. Step 4: Simplify right side
    10,485.51x = 86,128,057.81
  5. Step 5: Solve for x
    x = 86,128,057.81/10,485.51
  6. Step 6: Final answer
    x = 8,214.01

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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.