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Finding the Fourth Proportional to 7,884.29, 10,880.98 and 4,527.76

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Solution

The fourth proportional to 7,884.29, 10,880.98 and 4,527.76 is: 6,248.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.29 : 10,880.98 = 4,527.76 : x
  2. Step 2: Convert to fraction form
    7,884.29/10,880.98 = 4,527.76/x
  3. Step 3: Cross multiply
    7,884.29x = 10,880.98 × 4,527.76
  4. Step 4: Simplify right side
    7,884.29x = 49,266,466.00
  5. Step 5: Solve for x
    x = 49,266,466.00/7,884.29
  6. Step 6: Final answer
    x = 6,248.69

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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.