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Finding the Fourth Proportional to 7,283.64, 10,051.34 and 4,139.76

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Solution

The fourth proportional to 7,283.64, 10,051.34 and 4,139.76 is: 5,712.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,283.64 : 10,051.34 = 4,139.76 : x
  2. Step 2: Convert to fraction form
    7,283.64/10,051.34 = 4,139.76/x
  3. Step 3: Cross multiply
    7,283.64x = 10,051.34 × 4,139.76
  4. Step 4: Simplify right side
    7,283.64x = 41,610,135.28
  5. Step 5: Solve for x
    x = 41,610,135.28/7,283.64
  6. Step 6: Final answer
    x = 5,712.82

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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.