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Finding the Fourth Proportional to 7,256.76, 10,885.14 and 4,807.14

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Solution

The fourth proportional to 7,256.76, 10,885.14 and 4,807.14 is: 7,210.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,256.76 : 10,885.14 = 4,807.14 : x
  2. Step 2: Convert to fraction form
    7,256.76/10,885.14 = 4,807.14/x
  3. Step 3: Cross multiply
    7,256.76x = 10,885.14 × 4,807.14
  4. Step 4: Simplify right side
    7,256.76x = 52,326,391.90
  5. Step 5: Solve for x
    x = 52,326,391.90/7,256.76
  6. Step 6: Final answer
    x = 7,210.71

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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.