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Finding the Fourth Proportional to 10,953.36, 15,122.70 and 9,772.38

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Solution

The fourth proportional to 10,953.36, 15,122.70 and 9,772.38 is: 13,492.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,953.36 : 15,122.70 = 9,772.38 : x
  2. Step 2: Convert to fraction form
    10,953.36/15,122.70 = 9,772.38/x
  3. Step 3: Cross multiply
    10,953.36x = 15,122.70 × 9,772.38
  4. Step 4: Simplify right side
    10,953.36x = 147,784,771.03
  5. Step 5: Solve for x
    x = 147,784,771.03/10,953.36
  6. Step 6: Final answer
    x = 13,492.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.