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Finding the Fourth Proportional to 10,258.40, 14,156.40 and 5,782.07

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Solution

The fourth proportional to 10,258.40, 14,156.40 and 5,782.07 is: 7,979.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,258.40 : 14,156.40 = 5,782.07 : x
  2. Step 2: Convert to fraction form
    10,258.40/14,156.40 = 5,782.07/x
  3. Step 3: Cross multiply
    10,258.40x = 14,156.40 × 5,782.07
  4. Step 4: Simplify right side
    10,258.40x = 81,853,240.67
  5. Step 5: Solve for x
    x = 81,853,240.67/10,258.40
  6. Step 6: Final answer
    x = 7,979.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.