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Finding the Fourth Proportional to 10,310.76, 14,228.93 and 5,595.07

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Solution

The fourth proportional to 10,310.76, 14,228.93 and 5,595.07 is: 7,721.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,310.76 : 14,228.93 = 5,595.07 : x
  2. Step 2: Convert to fraction form
    10,310.76/14,228.93 = 5,595.07/x
  3. Step 3: Cross multiply
    10,310.76x = 14,228.93 × 5,595.07
  4. Step 4: Simplify right side
    10,310.76x = 79,611,859.38
  5. Step 5: Solve for x
    x = 79,611,859.38/10,310.76
  6. Step 6: Final answer
    x = 7,721.24

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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.