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Finding the Fourth Proportional to 10,558.45, 14,576.44 and 7,206.26

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Solution

The fourth proportional to 10,558.45, 14,576.44 and 7,206.26 is: 9,948.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,558.45 : 14,576.44 = 7,206.26 : x
  2. Step 2: Convert to fraction form
    10,558.45/14,576.44 = 7,206.26/x
  3. Step 3: Cross multiply
    10,558.45x = 14,576.44 × 7,206.26
  4. Step 4: Simplify right side
    10,558.45x = 105,041,598.50
  5. Step 5: Solve for x
    x = 105,041,598.50/10,558.45
  6. Step 6: Final answer
    x = 9,948.59

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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.