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Finding the Fourth Proportional to 8,595.95, 12,835.11 and 7,700.70

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Solution

The fourth proportional to 8,595.95, 12,835.11 and 7,700.70 is: 11,498.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,595.95 : 12,835.11 = 7,700.70 : x
  2. Step 2: Convert to fraction form
    8,595.95/12,835.11 = 7,700.70/x
  3. Step 3: Cross multiply
    8,595.95x = 12,835.11 × 7,700.70
  4. Step 4: Simplify right side
    8,595.95x = 98,839,331.58
  5. Step 5: Solve for x
    x = 98,839,331.58/8,595.95
  6. Step 6: Final answer
    x = 11,498.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.