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Finding the Fourth Proportional to 10,258.67, 15,382.50 and 5,316.05

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Solution

The fourth proportional to 10,258.67, 15,382.50 and 5,316.05 is: 7,971.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,258.67 : 15,382.50 = 5,316.05 : x
  2. Step 2: Convert to fraction form
    10,258.67/15,382.50 = 5,316.05/x
  3. Step 3: Cross multiply
    10,258.67x = 15,382.50 × 5,316.05
  4. Step 4: Simplify right side
    10,258.67x = 81,774,139.13
  5. Step 5: Solve for x
    x = 81,774,139.13/10,258.67
  6. Step 6: Final answer
    x = 7,971.22

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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.