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Finding the Fourth Proportional to 11,461.46, 15,826.22 and 7,219.35

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Solution

The fourth proportional to 11,461.46, 15,826.22 and 7,219.35 is: 9,968.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461.46 : 15,826.22 = 7,219.35 : x
  2. Step 2: Convert to fraction form
    11,461.46/15,826.22 = 7,219.35/x
  3. Step 3: Cross multiply
    11,461.46x = 15,826.22 × 7,219.35
  4. Step 4: Simplify right side
    11,461.46x = 114,254,985.26
  5. Step 5: Solve for x
    x = 114,254,985.26/11,461.46
  6. Step 6: Final answer
    x = 9,968.63

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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.