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Finding the Fourth Proportional to 10,366.84, 15,529.02 and 7,024.60

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Solution

The fourth proportional to 10,366.84, 15,529.02 and 7,024.60 is: 10,522.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.84 : 15,529.02 = 7,024.60 : x
  2. Step 2: Convert to fraction form
    10,366.84/15,529.02 = 7,024.60/x
  3. Step 3: Cross multiply
    10,366.84x = 15,529.02 × 7,024.60
  4. Step 4: Simplify right side
    10,366.84x = 109,085,153.89
  5. Step 5: Solve for x
    x = 109,085,153.89/10,366.84
  6. Step 6: Final answer
    x = 10,522.51

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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.