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Finding the Fourth Proportional to 10,583.46, 15,871.14 and 5,032.53

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Solution

The fourth proportional to 10,583.46, 15,871.14 and 5,032.53 is: 7,546.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583.46 : 15,871.14 = 5,032.53 : x
  2. Step 2: Convert to fraction form
    10,583.46/15,871.14 = 5,032.53/x
  3. Step 3: Cross multiply
    10,583.46x = 15,871.14 × 5,032.53
  4. Step 4: Simplify right side
    10,583.46x = 79,871,988.18
  5. Step 5: Solve for x
    x = 79,871,988.18/10,583.46
  6. Step 6: Final answer
    x = 7,546.87

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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.