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Finding the Fourth Proportional to 10,302.57, 14,218.07 and 5,765.76

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Solution

The fourth proportional to 10,302.57, 14,218.07 and 5,765.76 is: 7,957.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302.57 : 14,218.07 = 5,765.76 : x
  2. Step 2: Convert to fraction form
    10,302.57/14,218.07 = 5,765.76/x
  3. Step 3: Cross multiply
    10,302.57x = 14,218.07 × 5,765.76
  4. Step 4: Simplify right side
    10,302.57x = 81,977,979.28
  5. Step 5: Solve for x
    x = 81,977,979.28/10,302.57
  6. Step 6: Final answer
    x = 7,957.04

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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.