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Finding the Fourth Proportional to 10,587.38, 14,604.63 and 6,811.01

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Solution

The fourth proportional to 10,587.38, 14,604.63 and 6,811.01 is: 9,395.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,587.38 : 14,604.63 = 6,811.01 : x
  2. Step 2: Convert to fraction form
    10,587.38/14,604.63 = 6,811.01/x
  3. Step 3: Cross multiply
    10,587.38x = 14,604.63 × 6,811.01
  4. Step 4: Simplify right side
    10,587.38x = 99,472,280.98
  5. Step 5: Solve for x
    x = 99,472,280.98/10,587.38
  6. Step 6: Final answer
    x = 9,395.36

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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.