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Finding the Fourth Proportional to 11,564.54, 15,959.16 and 6,259.46

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Solution

The fourth proportional to 11,564.54, 15,959.16 and 6,259.46 is: 8,638.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.54 : 15,959.16 = 6,259.46 : x
  2. Step 2: Convert to fraction form
    11,564.54/15,959.16 = 6,259.46/x
  3. Step 3: Cross multiply
    11,564.54x = 15,959.16 × 6,259.46
  4. Step 4: Simplify right side
    11,564.54x = 99,895,723.65
  5. Step 5: Solve for x
    x = 99,895,723.65/11,564.54
  6. Step 6: Final answer
    x = 8,638.11

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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.