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Finding the Fourth Proportional to 10,462.47, 15,693.70 and 3,066.93

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Solution

The fourth proportional to 10,462.47, 15,693.70 and 3,066.93 is: 4,600.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.47 : 15,693.70 = 3,066.93 : x
  2. Step 2: Convert to fraction form
    10,462.47/15,693.70 = 3,066.93/x
  3. Step 3: Cross multiply
    10,462.47x = 15,693.70 × 3,066.93
  4. Step 4: Simplify right side
    10,462.47x = 48,131,479.34
  5. Step 5: Solve for x
    x = 48,131,479.34/10,462.47
  6. Step 6: Final answer
    x = 4,600.39

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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.