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Finding the Fourth Proportional to 10,550.40, 14,544 and 7,751.04

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Solution

The fourth proportional to 10,550.40, 14,544 and 7,751.04 is: 10,685.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,550.40 : 14,544 = 7,751.04 : x
  2. Step 2: Convert to fraction form
    10,550.40/14,544 = 7,751.04/x
  3. Step 3: Cross multiply
    10,550.40x = 14,544 × 7,751.04
  4. Step 4: Simplify right side
    10,550.40x = 112,731,125.76
  5. Step 5: Solve for x
    x = 112,731,125.76/10,550.40
  6. Step 6: Final answer
    x = 10,685.01

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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.