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Finding the Fourth Proportional to 11,564.76, 15,959.28 and 6,259.64

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Solution

The fourth proportional to 11,564.76, 15,959.28 and 6,259.64 is: 8,638.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.76 : 15,959.28 = 6,259.64 : x
  2. Step 2: Convert to fraction form
    11,564.76/15,959.28 = 6,259.64/x
  3. Step 3: Cross multiply
    11,564.76x = 15,959.28 × 6,259.64
  4. Step 4: Simplify right side
    11,564.76x = 99,899,347.46
  5. Step 5: Solve for x
    x = 99,899,347.46/11,564.76
  6. Step 6: Final answer
    x = 8,638.26

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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.