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Finding the Fourth Proportional to 7,352.10, 10,140.84 and 4,698.24

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Solution

The fourth proportional to 7,352.10, 10,140.84 and 4,698.24 is: 6,480.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,352.10 : 10,140.84 = 4,698.24 : x
  2. Step 2: Convert to fraction form
    7,352.10/10,140.84 = 4,698.24/x
  3. Step 3: Cross multiply
    7,352.10x = 10,140.84 × 4,698.24
  4. Step 4: Simplify right side
    7,352.10x = 47,644,100.12
  5. Step 5: Solve for x
    x = 47,644,100.12/7,352.10
  6. Step 6: Final answer
    x = 6,480.34

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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.