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Finding the Fourth Proportional to 10,400.52, 14,348.42 and 7,258.54

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Solution

The fourth proportional to 10,400.52, 14,348.42 and 7,258.54 is: 10,013.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400.52 : 14,348.42 = 7,258.54 : x
  2. Step 2: Convert to fraction form
    10,400.52/14,348.42 = 7,258.54/x
  3. Step 3: Cross multiply
    10,400.52x = 14,348.42 × 7,258.54
  4. Step 4: Simplify right side
    10,400.52x = 104,148,580.51
  5. Step 5: Solve for x
    x = 104,148,580.51/10,400.52
  6. Step 6: Final answer
    x = 10,013.79

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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.