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Finding the Fourth Proportional to 10,548.93, 15,801.53 and 8,457.62

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Solution

The fourth proportional to 10,548.93, 15,801.53 and 8,457.62 is: 12,668.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,548.93 : 15,801.53 = 8,457.62 : x
  2. Step 2: Convert to fraction form
    10,548.93/15,801.53 = 8,457.62/x
  3. Step 3: Cross multiply
    10,548.93x = 15,801.53 × 8,457.62
  4. Step 4: Simplify right side
    10,548.93x = 133,643,262.44
  5. Step 5: Solve for x
    x = 133,643,262.44/10,548.93
  6. Step 6: Final answer
    x = 12,668.89

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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.