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Finding the Fourth Proportional to 11,341.68, 15,647.64 and 7,368.24

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Solution

The fourth proportional to 11,341.68, 15,647.64 and 7,368.24 is: 10,165.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,341.68 : 15,647.64 = 7,368.24 : x
  2. Step 2: Convert to fraction form
    11,341.68/15,647.64 = 7,368.24/x
  3. Step 3: Cross multiply
    11,341.68x = 15,647.64 × 7,368.24
  4. Step 4: Simplify right side
    11,341.68x = 115,295,566.95
  5. Step 5: Solve for x
    x = 115,295,566.95/11,341.68
  6. Step 6: Final answer
    x = 10,165.65

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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.