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Finding the Fourth Proportional to 10,970.58, 16,458.29 and 5,124

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Solution

The fourth proportional to 10,970.58, 16,458.29 and 5,124 is: 7,687.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.58 : 16,458.29 = 5,124 : x
  2. Step 2: Convert to fraction form
    10,970.58/16,458.29 = 5,124/x
  3. Step 3: Cross multiply
    10,970.58x = 16,458.29 × 5,124
  4. Step 4: Simplify right side
    10,970.58x = 84,332,277.96
  5. Step 5: Solve for x
    x = 84,332,277.96/10,970.58
  6. Step 6: Final answer
    x = 7,687.13

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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.