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Finding the Fourth Proportional to 10,195.64, 15,275.58 and 7,258.64

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Solution

The fourth proportional to 10,195.64, 15,275.58 and 7,258.64 is: 10,875.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,195.64 : 15,275.58 = 7,258.64 : x
  2. Step 2: Convert to fraction form
    10,195.64/15,275.58 = 7,258.64/x
  3. Step 3: Cross multiply
    10,195.64x = 15,275.58 × 7,258.64
  4. Step 4: Simplify right side
    10,195.64x = 110,879,936.01
  5. Step 5: Solve for x
    x = 110,879,936.01/10,195.64
  6. Step 6: Final answer
    x = 10,875.23

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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.