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Finding the Fourth Proportional to 7,385, 10,179.94 and 4,862.76

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Solution

The fourth proportional to 7,385, 10,179.94 and 4,862.76 is: 6,703.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,385 : 10,179.94 = 4,862.76 : x
  2. Step 2: Convert to fraction form
    7,385/10,179.94 = 4,862.76/x
  3. Step 3: Cross multiply
    7,385x = 10,179.94 × 4,862.76
  4. Step 4: Simplify right side
    7,385x = 49,502,605.03
  5. Step 5: Solve for x
    x = 49,502,605.03/7,385
  6. Step 6: Final answer
    x = 6,703.13

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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.