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Finding the Fourth Proportional to 10,461.86, 15,693.33 and 2,670.74

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Solution

The fourth proportional to 10,461.86, 15,693.33 and 2,670.74 is: 4,006.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.86 : 15,693.33 = 2,670.74 : x
  2. Step 2: Convert to fraction form
    10,461.86/15,693.33 = 2,670.74/x
  3. Step 3: Cross multiply
    10,461.86x = 15,693.33 × 2,670.74
  4. Step 4: Simplify right side
    10,461.86x = 41,912,804.16
  5. Step 5: Solve for x
    x = 41,912,804.16/10,461.86
  6. Step 6: Final answer
    x = 4,006.25

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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.