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Finding the Fourth Proportional to 11,312, 15,610.56 and 6,595.37

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Solution

The fourth proportional to 11,312, 15,610.56 and 6,595.37 is: 9,101.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,312 : 15,610.56 = 6,595.37 : x
  2. Step 2: Convert to fraction form
    11,312/15,610.56 = 6,595.37/x
  3. Step 3: Cross multiply
    11,312x = 15,610.56 × 6,595.37
  4. Step 4: Simplify right side
    11,312x = 102,957,419.11
  5. Step 5: Solve for x
    x = 102,957,419.11/11,312
  6. Step 6: Final answer
    x = 9,101.61

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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.