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Finding the Fourth Proportional to 10,953.50, 16,440 and 5,113.40

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Solution

The fourth proportional to 10,953.50, 16,440 and 5,113.40 is: 7,674.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,953.50 : 16,440 = 5,113.40 : x
  2. Step 2: Convert to fraction form
    10,953.50/16,440 = 5,113.40/x
  3. Step 3: Cross multiply
    10,953.50x = 16,440 × 5,113.40
  4. Step 4: Simplify right side
    10,953.50x = 84,064,296
  5. Step 5: Solve for x
    x = 84,064,296/10,953.50
  6. Step 6: Final answer
    x = 7,674.65

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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.