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Finding the Fourth Proportional to 10,066.51, 15,085.17 and 5,674.60

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Solution

The fourth proportional to 10,066.51, 15,085.17 and 5,674.60 is: 8,503.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,066.51 : 15,085.17 = 5,674.60 : x
  2. Step 2: Convert to fraction form
    10,066.51/15,085.17 = 5,674.60/x
  3. Step 3: Cross multiply
    10,066.51x = 15,085.17 × 5,674.60
  4. Step 4: Simplify right side
    10,066.51x = 85,602,305.68
  5. Step 5: Solve for x
    x = 85,602,305.68/10,066.51
  6. Step 6: Final answer
    x = 8,503.67

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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.