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Finding the Fourth Proportional to 7,570.30, 11,352.54 and 3,410.14

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Solution

The fourth proportional to 7,570.30, 11,352.54 and 3,410.14 is: 5,113.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.30 : 11,352.54 = 3,410.14 : x
  2. Step 2: Convert to fraction form
    7,570.30/11,352.54 = 3,410.14/x
  3. Step 3: Cross multiply
    7,570.30x = 11,352.54 × 3,410.14
  4. Step 4: Simplify right side
    7,570.30x = 38,713,750.76
  5. Step 5: Solve for x
    x = 38,713,750.76/7,570.30
  6. Step 6: Final answer
    x = 5,113.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.