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Finding the Fourth Proportional to 10,510.84, 15,765.28 and 6,125.56

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Solution

The fourth proportional to 10,510.84, 15,765.28 and 6,125.56 is: 9,187.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.84 : 15,765.28 = 6,125.56 : x
  2. Step 2: Convert to fraction form
    10,510.84/15,765.28 = 6,125.56/x
  3. Step 3: Cross multiply
    10,510.84x = 15,765.28 × 6,125.56
  4. Step 4: Simplify right side
    10,510.84x = 96,571,168.56
  5. Step 5: Solve for x
    x = 96,571,168.56/10,510.84
  6. Step 6: Final answer
    x = 9,187.77

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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.