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Finding the Fourth Proportional to 7,132.09, 10,699.11 and 2,971.12

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Solution

The fourth proportional to 7,132.09, 10,699.11 and 2,971.12 is: 4,457.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.09 : 10,699.11 = 2,971.12 : x
  2. Step 2: Convert to fraction form
    7,132.09/10,699.11 = 2,971.12/x
  3. Step 3: Cross multiply
    7,132.09x = 10,699.11 × 2,971.12
  4. Step 4: Simplify right side
    7,132.09x = 31,788,363.95
  5. Step 5: Solve for x
    x = 31,788,363.95/7,132.09
  6. Step 6: Final answer
    x = 4,457.09

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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.