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Finding the Fourth Proportional to 7,312.45, 10,969.37 and 2,047.47

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Solution

The fourth proportional to 7,312.45, 10,969.37 and 2,047.47 is: 3,071.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312.45 : 10,969.37 = 2,047.47 : x
  2. Step 2: Convert to fraction form
    7,312.45/10,969.37 = 2,047.47/x
  3. Step 3: Cross multiply
    7,312.45x = 10,969.37 × 2,047.47
  4. Step 4: Simplify right side
    7,312.45x = 22,459,390.91
  5. Step 5: Solve for x
    x = 22,459,390.91/7,312.45
  6. Step 6: Final answer
    x = 3,071.39

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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.