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Finding the Fourth Proportional to 10,599.84, 15,903.60 and 5,124

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Solution

The fourth proportional to 10,599.84, 15,903.60 and 5,124 is: 7,687.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,599.84 : 15,903.60 = 5,124 : x
  2. Step 2: Convert to fraction form
    10,599.84/15,903.60 = 5,124/x
  3. Step 3: Cross multiply
    10,599.84x = 15,903.60 × 5,124
  4. Step 4: Simplify right side
    10,599.84x = 81,490,046.40
  5. Step 5: Solve for x
    x = 81,490,046.40/10,599.84
  6. Step 6: Final answer
    x = 7,687.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.