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Finding the Fourth Proportional to 11,510.37, 15,815.47 and 9,148.41

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Solution

The fourth proportional to 11,510.37, 15,815.47 and 9,148.41 is: 12,570.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,510.37 : 15,815.47 = 9,148.41 : x
  2. Step 2: Convert to fraction form
    11,510.37/15,815.47 = 9,148.41/x
  3. Step 3: Cross multiply
    11,510.37x = 15,815.47 × 9,148.41
  4. Step 4: Simplify right side
    11,510.37x = 144,686,403.90
  5. Step 5: Solve for x
    x = 144,686,403.90/11,510.37
  6. Step 6: Final answer
    x = 12,570.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.