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Finding the Fourth Proportional to 7,814.84, 11,710.51 and 3,130.20

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Solution

The fourth proportional to 7,814.84, 11,710.51 and 3,130.20 is: 4,690.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.84 : 11,710.51 = 3,130.20 : x
  2. Step 2: Convert to fraction form
    7,814.84/11,710.51 = 3,130.20/x
  3. Step 3: Cross multiply
    7,814.84x = 11,710.51 × 3,130.20
  4. Step 4: Simplify right side
    7,814.84x = 36,656,230.58
  5. Step 5: Solve for x
    x = 36,656,230.58/7,814.84
  6. Step 6: Final answer
    x = 4,690.60

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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.