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Finding the Fourth Proportional to 7,013.76, 10,523.04 and 3,117.64

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Solution

The fourth proportional to 7,013.76, 10,523.04 and 3,117.64 is: 4,677.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.76 : 10,523.04 = 3,117.64 : x
  2. Step 2: Convert to fraction form
    7,013.76/10,523.04 = 3,117.64/x
  3. Step 3: Cross multiply
    7,013.76x = 10,523.04 × 3,117.64
  4. Step 4: Simplify right side
    7,013.76x = 32,807,050.43
  5. Step 5: Solve for x
    x = 32,807,050.43/7,013.76
  6. Step 6: Final answer
    x = 4,677.53

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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.