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Finding the Fourth Proportional to 10,588.59, 14,611.19 and 6,113.77

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Solution

The fourth proportional to 10,588.59, 14,611.19 and 6,113.77 is: 8,436.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.59 : 14,611.19 = 6,113.77 : x
  2. Step 2: Convert to fraction form
    10,588.59/14,611.19 = 6,113.77/x
  3. Step 3: Cross multiply
    10,588.59x = 14,611.19 × 6,113.77
  4. Step 4: Simplify right side
    10,588.59x = 89,329,387.99
  5. Step 5: Solve for x
    x = 89,329,387.99/10,588.59
  6. Step 6: Final answer
    x = 8,436.38

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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.