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Finding the Fourth Proportional to 10,435.73, 15,658.73 and 4,888.11

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Solution

The fourth proportional to 10,435.73, 15,658.73 and 4,888.11 is: 7,334.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.73 : 15,658.73 = 4,888.11 : x
  2. Step 2: Convert to fraction form
    10,435.73/15,658.73 = 4,888.11/x
  3. Step 3: Cross multiply
    10,435.73x = 15,658.73 × 4,888.11
  4. Step 4: Simplify right side
    10,435.73x = 76,541,606.92
  5. Step 5: Solve for x
    x = 76,541,606.92/10,435.73
  6. Step 6: Final answer
    x = 7,334.57

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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.