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Finding the Fourth Proportional to 10,730.57, 16,101.32 and 4,886.42

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Solution

The fourth proportional to 10,730.57, 16,101.32 and 4,886.42 is: 7,332.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.57 : 16,101.32 = 4,886.42 : x
  2. Step 2: Convert to fraction form
    10,730.57/16,101.32 = 4,886.42/x
  3. Step 3: Cross multiply
    10,730.57x = 16,101.32 × 4,886.42
  4. Step 4: Simplify right side
    10,730.57x = 78,677,707.14
  5. Step 5: Solve for x
    x = 78,677,707.14/10,730.57
  6. Step 6: Final answer
    x = 7,332.11

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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.