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Finding the Fourth Proportional to 7,283.30, 10,051.78 and 4,140.02

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Solution

The fourth proportional to 7,283.30, 10,051.78 and 4,140.02 is: 5,713.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,283.30 : 10,051.78 = 4,140.02 : x
  2. Step 2: Convert to fraction form
    7,283.30/10,051.78 = 4,140.02/x
  3. Step 3: Cross multiply
    7,283.30x = 10,051.78 × 4,140.02
  4. Step 4: Simplify right side
    7,283.30x = 41,614,570.24
  5. Step 5: Solve for x
    x = 41,614,570.24/7,283.30
  6. Step 6: Final answer
    x = 5,713.70

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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.