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Finding the Fourth Proportional to 6,903.16, 10,322.94 and 5,127.57

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Solution

The fourth proportional to 6,903.16, 10,322.94 and 5,127.57 is: 7,667.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,903.16 : 10,322.94 = 5,127.57 : x
  2. Step 2: Convert to fraction form
    6,903.16/10,322.94 = 5,127.57/x
  3. Step 3: Cross multiply
    6,903.16x = 10,322.94 × 5,127.57
  4. Step 4: Simplify right side
    6,903.16x = 52,931,597.46
  5. Step 5: Solve for x
    x = 52,931,597.46/6,903.16
  6. Step 6: Final answer
    x = 7,667.73

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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.