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Finding the Fourth Proportional to 7,460.87, 10,295.33 and 4,103.64

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Solution

The fourth proportional to 7,460.87, 10,295.33 and 4,103.64 is: 5,662.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460.87 : 10,295.33 = 4,103.64 : x
  2. Step 2: Convert to fraction form
    7,460.87/10,295.33 = 4,103.64/x
  3. Step 3: Cross multiply
    7,460.87x = 10,295.33 × 4,103.64
  4. Step 4: Simplify right side
    7,460.87x = 42,248,307.48
  5. Step 5: Solve for x
    x = 42,248,307.48/7,460.87
  6. Step 6: Final answer
    x = 5,662.66

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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.