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Finding the Fourth Proportional to 10,854.61, 16,277.76 and 5,921.61

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Solution

The fourth proportional to 10,854.61, 16,277.76 and 5,921.61 is: 8,880.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.61 : 16,277.76 = 5,921.61 : x
  2. Step 2: Convert to fraction form
    10,854.61/16,277.76 = 5,921.61/x
  3. Step 3: Cross multiply
    10,854.61x = 16,277.76 × 5,921.61
  4. Step 4: Simplify right side
    10,854.61x = 96,390,485.35
  5. Step 5: Solve for x
    x = 96,390,485.35/10,854.61
  6. Step 6: Final answer
    x = 8,880.14

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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.