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Finding the Fourth Proportional to 11,345.73, 15,655.90 and 6,309.14

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Solution

The fourth proportional to 11,345.73, 15,655.90 and 6,309.14 is: 8,705.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,345.73 : 15,655.90 = 6,309.14 : x
  2. Step 2: Convert to fraction form
    11,345.73/15,655.90 = 6,309.14/x
  3. Step 3: Cross multiply
    11,345.73x = 15,655.90 × 6,309.14
  4. Step 4: Simplify right side
    11,345.73x = 98,775,264.93
  5. Step 5: Solve for x
    x = 98,775,264.93/11,345.73
  6. Step 6: Final answer
    x = 8,705.94

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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.