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Finding the Fourth Proportional to 7,134.93, 10,703.00 and 1,869.93

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Solution

The fourth proportional to 7,134.93, 10,703.00 and 1,869.93 is: 2,805.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.93 : 10,703.00 = 1,869.93 : x
  2. Step 2: Convert to fraction form
    7,134.93/10,703.00 = 1,869.93/x
  3. Step 3: Cross multiply
    7,134.93x = 10,703.00 × 1,869.93
  4. Step 4: Simplify right side
    7,134.93x = 20,013,865.46
  5. Step 5: Solve for x
    x = 20,013,865.46/7,134.93
  6. Step 6: Final answer
    x = 2,805.05

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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.