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Finding the Fourth Proportional to 7,730.02, 11,506.19 and 7,371.46

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Solution

The fourth proportional to 7,730.02, 11,506.19 and 7,371.46 is: 10,972.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.02 : 11,506.19 = 7,371.46 : x
  2. Step 2: Convert to fraction form
    7,730.02/11,506.19 = 7,371.46/x
  3. Step 3: Cross multiply
    7,730.02x = 11,506.19 × 7,371.46
  4. Step 4: Simplify right side
    7,730.02x = 84,817,419.34
  5. Step 5: Solve for x
    x = 84,817,419.34/7,730.02
  6. Step 6: Final answer
    x = 10,972.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.