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Finding the Fourth Proportional to 10,258.68, 15,382.50 and 5,316.06

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Solution

The fourth proportional to 10,258.68, 15,382.50 and 5,316.06 is: 7,971.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,258.68 : 15,382.50 = 5,316.06 : x
  2. Step 2: Convert to fraction form
    10,258.68/15,382.50 = 5,316.06/x
  3. Step 3: Cross multiply
    10,258.68x = 15,382.50 × 5,316.06
  4. Step 4: Simplify right side
    10,258.68x = 81,774,292.95
  5. Step 5: Solve for x
    x = 81,774,292.95/10,258.68
  6. Step 6: Final answer
    x = 7,971.23

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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.