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Finding the Fourth Proportional to 10,039.64, 15,055.12 and 5,358.60

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Solution

The fourth proportional to 10,039.64, 15,055.12 and 5,358.60 is: 8,035.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,039.64 : 15,055.12 = 5,358.60 : x
  2. Step 2: Convert to fraction form
    10,039.64/15,055.12 = 5,358.60/x
  3. Step 3: Cross multiply
    10,039.64x = 15,055.12 × 5,358.60
  4. Step 4: Simplify right side
    10,039.64x = 80,674,366.03
  5. Step 5: Solve for x
    x = 80,674,366.03/10,039.64
  6. Step 6: Final answer
    x = 8,035.58

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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.