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Finding the Fourth Proportional to 10,760.40, 16,130.88 and 9,594

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Solution

The fourth proportional to 10,760.40, 16,130.88 and 9,594 is: 14,382.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,760.40 : 16,130.88 = 9,594 : x
  2. Step 2: Convert to fraction form
    10,760.40/16,130.88 = 9,594/x
  3. Step 3: Cross multiply
    10,760.40x = 16,130.88 × 9,594
  4. Step 4: Simplify right side
    10,760.40x = 154,759,662.72
  5. Step 5: Solve for x
    x = 154,759,662.72/10,760.40
  6. Step 6: Final answer
    x = 14,382.33

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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.