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Finding the Fourth Proportional to 10,084.51, 15,148.62 and 8,527.63

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Solution

The fourth proportional to 10,084.51, 15,148.62 and 8,527.63 is: 12,809.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,084.51 : 15,148.62 = 8,527.63 : x
  2. Step 2: Convert to fraction form
    10,084.51/15,148.62 = 8,527.63/x
  3. Step 3: Cross multiply
    10,084.51x = 15,148.62 × 8,527.63
  4. Step 4: Simplify right side
    10,084.51x = 129,181,826.37
  5. Step 5: Solve for x
    x = 129,181,826.37/10,084.51
  6. Step 6: Final answer
    x = 12,809.93

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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.