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Finding the Fourth Proportional to 7,258.40, 10,900.37 and 7,154.52

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Solution

The fourth proportional to 7,258.40, 10,900.37 and 7,154.52 is: 10,744.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,258.40 : 10,900.37 = 7,154.52 : x
  2. Step 2: Convert to fraction form
    7,258.40/10,900.37 = 7,154.52/x
  3. Step 3: Cross multiply
    7,258.40x = 10,900.37 × 7,154.52
  4. Step 4: Simplify right side
    7,258.40x = 77,986,915.17
  5. Step 5: Solve for x
    x = 77,986,915.17/7,258.40
  6. Step 6: Final answer
    x = 10,744.37

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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.