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Finding the Fourth Proportional to 11,302.86, 15,597.94 and 6,267.10

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Solution

The fourth proportional to 11,302.86, 15,597.94 and 6,267.10 is: 8,648.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,302.86 : 15,597.94 = 6,267.10 : x
  2. Step 2: Convert to fraction form
    11,302.86/15,597.94 = 6,267.10/x
  3. Step 3: Cross multiply
    11,302.86x = 15,597.94 × 6,267.10
  4. Step 4: Simplify right side
    11,302.86x = 97,753,849.77
  5. Step 5: Solve for x
    x = 97,753,849.77/11,302.86
  6. Step 6: Final answer
    x = 8,648.59

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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.