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Finding the Fourth Proportional to 7,133.34, 10,701.24 and 2,453.82

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Solution

The fourth proportional to 7,133.34, 10,701.24 and 2,453.82 is: 3,681.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.34 : 10,701.24 = 2,453.82 : x
  2. Step 2: Convert to fraction form
    7,133.34/10,701.24 = 2,453.82/x
  3. Step 3: Cross multiply
    7,133.34x = 10,701.24 × 2,453.82
  4. Step 4: Simplify right side
    7,133.34x = 26,258,916.74
  5. Step 5: Solve for x
    x = 26,258,916.74/7,133.34
  6. Step 6: Final answer
    x = 3,681.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.