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Finding the Fourth Proportional to 7,178.58, 9,907.47 and 4,035.06

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Solution

The fourth proportional to 7,178.58, 9,907.47 and 4,035.06 is: 5,568.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.58 : 9,907.47 = 4,035.06 : x
  2. Step 2: Convert to fraction form
    7,178.58/9,907.47 = 4,035.06/x
  3. Step 3: Cross multiply
    7,178.58x = 9,907.47 × 4,035.06
  4. Step 4: Simplify right side
    7,178.58x = 39,977,235.90
  5. Step 5: Solve for x
    x = 39,977,235.90/7,178.58
  6. Step 6: Final answer
    x = 5,568.96

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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.