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Finding the Fourth Proportional to 10,258.58, 15,387.86 and 5,872.94

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Solution

The fourth proportional to 10,258.58, 15,387.86 and 5,872.94 is: 8,809.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,258.58 : 15,387.86 = 5,872.94 : x
  2. Step 2: Convert to fraction form
    10,258.58/15,387.86 = 5,872.94/x
  3. Step 3: Cross multiply
    10,258.58x = 15,387.86 × 5,872.94
  4. Step 4: Simplify right side
    10,258.58x = 90,371,978.51
  5. Step 5: Solve for x
    x = 90,371,978.51/10,258.58
  6. Step 6: Final answer
    x = 8,809.40

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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.