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Finding the Fourth Proportional to 7,130.40, 10,695.60 and 4,651.80

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Solution

The fourth proportional to 7,130.40, 10,695.60 and 4,651.80 is: 6,977.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.40 : 10,695.60 = 4,651.80 : x
  2. Step 2: Convert to fraction form
    7,130.40/10,695.60 = 4,651.80/x
  3. Step 3: Cross multiply
    7,130.40x = 10,695.60 × 4,651.80
  4. Step 4: Simplify right side
    7,130.40x = 49,753,792.08
  5. Step 5: Solve for x
    x = 49,753,792.08/7,130.40
  6. Step 6: Final answer
    x = 6,977.70

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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.