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Finding the Fourth Proportional to 10,854, 14,888.43 and 10,760.40

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Solution

The fourth proportional to 10,854, 14,888.43 and 10,760.40 is: 14,760.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854 : 14,888.43 = 10,760.40 : x
  2. Step 2: Convert to fraction form
    10,854/14,888.43 = 10,760.40/x
  3. Step 3: Cross multiply
    10,854x = 14,888.43 × 10,760.40
  4. Step 4: Simplify right side
    10,854x = 160,205,462.17
  5. Step 5: Solve for x
    x = 160,205,462.17/10,854
  6. Step 6: Final answer
    x = 14,760.04

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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.