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Finding the Fourth Proportional to 11,597.67, 15,998.79 and 7,341.52

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Solution

The fourth proportional to 11,597.67, 15,998.79 and 7,341.52 is: 10,127.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.67 : 15,998.79 = 7,341.52 : x
  2. Step 2: Convert to fraction form
    11,597.67/15,998.79 = 7,341.52/x
  3. Step 3: Cross multiply
    11,597.67x = 15,998.79 × 7,341.52
  4. Step 4: Simplify right side
    11,597.67x = 117,455,436.76
  5. Step 5: Solve for x
    x = 117,455,436.76/11,597.67
  6. Step 6: Final answer
    x = 10,127.50

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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.