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Finding the Fourth Proportional to 10,549.10, 15,802.77 and 8,576.93

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Solution

The fourth proportional to 10,549.10, 15,802.77 and 8,576.93 is: 12,848.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,549.10 : 15,802.77 = 8,576.93 : x
  2. Step 2: Convert to fraction form
    10,549.10/15,802.77 = 8,576.93/x
  3. Step 3: Cross multiply
    10,549.10x = 15,802.77 × 8,576.93
  4. Step 4: Simplify right side
    10,549.10x = 135,539,173.08
  5. Step 5: Solve for x
    x = 135,539,173.08/10,549.10
  6. Step 6: Final answer
    x = 12,848.42

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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.