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Finding the Fourth Proportional to 11,305.86, 15,602.34 and 6,590.46

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Solution

The fourth proportional to 11,305.86, 15,602.34 and 6,590.46 is: 9,094.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,305.86 : 15,602.34 = 6,590.46 : x
  2. Step 2: Convert to fraction form
    11,305.86/15,602.34 = 6,590.46/x
  3. Step 3: Cross multiply
    11,305.86x = 15,602.34 × 6,590.46
  4. Step 4: Simplify right side
    11,305.86x = 102,826,597.68
  5. Step 5: Solve for x
    x = 102,826,597.68/11,305.86
  6. Step 6: Final answer
    x = 9,094.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.