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Finding the Fourth Proportional to 7,775.60, 10,730.32 and 4,631.92

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Solution

The fourth proportional to 7,775.60, 10,730.32 and 4,631.92 is: 6,392.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.60 : 10,730.32 = 4,631.92 : x
  2. Step 2: Convert to fraction form
    7,775.60/10,730.32 = 4,631.92/x
  3. Step 3: Cross multiply
    7,775.60x = 10,730.32 × 4,631.92
  4. Step 4: Simplify right side
    7,775.60x = 49,701,983.81
  5. Step 5: Solve for x
    x = 49,701,983.81/7,775.60
  6. Step 6: Final answer
    x = 6,392.04

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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.