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Finding the Fourth Proportional to 7,129.40, 10,696.05 and 2,971.35

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Solution

The fourth proportional to 7,129.40, 10,696.05 and 2,971.35 is: 4,457.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.40 : 10,696.05 = 2,971.35 : x
  2. Step 2: Convert to fraction form
    7,129.40/10,696.05 = 2,971.35/x
  3. Step 3: Cross multiply
    7,129.40x = 10,696.05 × 2,971.35
  4. Step 4: Simplify right side
    7,129.40x = 31,781,708.17
  5. Step 5: Solve for x
    x = 31,781,708.17/7,129.40
  6. Step 6: Final answer
    x = 4,457.84

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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.