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Finding the Fourth Proportional to 7,219.34, 10,731.60 and 7,006.51

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Solution

The fourth proportional to 7,219.34, 10,731.60 and 7,006.51 is: 10,415.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,219.34 : 10,731.60 = 7,006.51 : x
  2. Step 2: Convert to fraction form
    7,219.34/10,731.60 = 7,006.51/x
  3. Step 3: Cross multiply
    7,219.34x = 10,731.60 × 7,006.51
  4. Step 4: Simplify right side
    7,219.34x = 75,191,018.37
  5. Step 5: Solve for x
    x = 75,191,018.37/7,219.34
  6. Step 6: Final answer
    x = 10,415.22

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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.