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Finding the Fourth Proportional to 10,422.02, 15,639.92 and 4,875.78

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Solution

The fourth proportional to 10,422.02, 15,639.92 and 4,875.78 is: 7,316.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422.02 : 15,639.92 = 4,875.78 : x
  2. Step 2: Convert to fraction form
    10,422.02/15,639.92 = 4,875.78/x
  3. Step 3: Cross multiply
    10,422.02x = 15,639.92 × 4,875.78
  4. Step 4: Simplify right side
    10,422.02x = 76,256,809.14
  5. Step 5: Solve for x
    x = 76,256,809.14/10,422.02
  6. Step 6: Final answer
    x = 7,316.89

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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.