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Finding the Fourth Proportional to 7,549.86, 10,423.74 and 4,904.81

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Solution

The fourth proportional to 7,549.86, 10,423.74 and 4,904.81 is: 6,771.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549.86 : 10,423.74 = 4,904.81 : x
  2. Step 2: Convert to fraction form
    7,549.86/10,423.74 = 4,904.81/x
  3. Step 3: Cross multiply
    7,549.86x = 10,423.74 × 4,904.81
  4. Step 4: Simplify right side
    7,549.86x = 51,126,387.55
  5. Step 5: Solve for x
    x = 51,126,387.55/7,549.86
  6. Step 6: Final answer
    x = 6,771.83

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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.