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Finding the Fourth Proportional to 4,711.38, 7,032.65 and 4,368.76

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Solution

The fourth proportional to 4,711.38, 7,032.65 and 4,368.76 is: 6,521.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.38 : 7,032.65 = 4,368.76 : x
  2. Step 2: Convert to fraction form
    4,711.38/7,032.65 = 4,368.76/x
  3. Step 3: Cross multiply
    4,711.38x = 7,032.65 × 4,368.76
  4. Step 4: Simplify right side
    4,711.38x = 30,723,960.01
  5. Step 5: Solve for x
    x = 30,723,960.01/4,711.38
  6. Step 6: Final answer
    x = 6,521.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.