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Finding the Fourth Proportional to 10,258.40, 15,387.60 and 7,330.40

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Solution

The fourth proportional to 10,258.40, 15,387.60 and 7,330.40 is: 10,995.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,258.40 : 15,387.60 = 7,330.40 : x
  2. Step 2: Convert to fraction form
    10,258.40/15,387.60 = 7,330.40/x
  3. Step 3: Cross multiply
    10,258.40x = 15,387.60 × 7,330.40
  4. Step 4: Simplify right side
    10,258.40x = 112,797,263.04
  5. Step 5: Solve for x
    x = 112,797,263.04/10,258.40
  6. Step 6: Final answer
    x = 10,995.60

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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.