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Finding the Fourth Proportional to 11,564.49, 15,959.01 and 6,259.30

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Solution

The fourth proportional to 11,564.49, 15,959.01 and 6,259.30 is: 8,637.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.49 : 15,959.01 = 6,259.30 : x
  2. Step 2: Convert to fraction form
    11,564.49/15,959.01 = 6,259.30/x
  3. Step 3: Cross multiply
    11,564.49x = 15,959.01 × 6,259.30
  4. Step 4: Simplify right side
    11,564.49x = 99,892,191.40
  5. Step 5: Solve for x
    x = 99,892,191.40/11,564.49
  6. Step 6: Final answer
    x = 8,637.84

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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.