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Finding the Fourth Proportional to 11,048.06, 16,564.80 and 9,415.10

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Solution

The fourth proportional to 11,048.06, 16,564.80 and 9,415.10 is: 14,116.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,048.06 : 16,564.80 = 9,415.10 : x
  2. Step 2: Convert to fraction form
    11,048.06/16,564.80 = 9,415.10/x
  3. Step 3: Cross multiply
    11,048.06x = 16,564.80 × 9,415.10
  4. Step 4: Simplify right side
    11,048.06x = 155,959,248.48
  5. Step 5: Solve for x
    x = 155,959,248.48/11,048.06
  6. Step 6: Final answer
    x = 14,116.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.