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Finding the Fourth Proportional to 7,794.30, 10,758.42 and 5,437.20

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Solution

The fourth proportional to 7,794.30, 10,758.42 and 5,437.20 is: 7,504.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.30 : 10,758.42 = 5,437.20 : x
  2. Step 2: Convert to fraction form
    7,794.30/10,758.42 = 5,437.20/x
  3. Step 3: Cross multiply
    7,794.30x = 10,758.42 × 5,437.20
  4. Step 4: Simplify right side
    7,794.30x = 58,495,681.22
  5. Step 5: Solve for x
    x = 58,495,681.22/7,794.30
  6. Step 6: Final answer
    x = 7,504.93

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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.