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Finding the Fourth Proportional to 10,586.46, 15,875.64 and 5,035.53

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Solution

The fourth proportional to 10,586.46, 15,875.64 and 5,035.53 is: 7,551.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.46 : 15,875.64 = 5,035.53 : x
  2. Step 2: Convert to fraction form
    10,586.46/15,875.64 = 5,035.53/x
  3. Step 3: Cross multiply
    10,586.46x = 15,875.64 × 5,035.53
  4. Step 4: Simplify right side
    10,586.46x = 79,942,261.49
  5. Step 5: Solve for x
    x = 79,942,261.49/10,586.46
  6. Step 6: Final answer
    x = 7,551.37

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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.