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Finding the Fourth Proportional to 7,570.12, 11,355.96 and 2,894.07

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Solution

The fourth proportional to 7,570.12, 11,355.96 and 2,894.07 is: 4,341.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.12 : 11,355.96 = 2,894.07 : x
  2. Step 2: Convert to fraction form
    7,570.12/11,355.96 = 2,894.07/x
  3. Step 3: Cross multiply
    7,570.12x = 11,355.96 × 2,894.07
  4. Step 4: Simplify right side
    7,570.12x = 32,864,943.16
  5. Step 5: Solve for x
    x = 32,864,943.16/7,570.12
  6. Step 6: Final answer
    x = 4,341.40

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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.