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Finding the Fourth Proportional to 7,662.60, 10,574.16 and 4,677.36

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Solution

The fourth proportional to 7,662.60, 10,574.16 and 4,677.36 is: 6,454.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.60 : 10,574.16 = 4,677.36 : x
  2. Step 2: Convert to fraction form
    7,662.60/10,574.16 = 4,677.36/x
  3. Step 3: Cross multiply
    7,662.60x = 10,574.16 × 4,677.36
  4. Step 4: Simplify right side
    7,662.60x = 49,459,153.02
  5. Step 5: Solve for x
    x = 49,459,153.02/7,662.60
  6. Step 6: Final answer
    x = 6,454.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.