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Finding the Fourth Proportional to 10,052.34, 15,076.40 and 6,483.77

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Solution

The fourth proportional to 10,052.34, 15,076.40 and 6,483.77 is: 9,724.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,052.34 : 15,076.40 = 6,483.77 : x
  2. Step 2: Convert to fraction form
    10,052.34/15,076.40 = 6,483.77/x
  3. Step 3: Cross multiply
    10,052.34x = 15,076.40 × 6,483.77
  4. Step 4: Simplify right side
    10,052.34x = 97,751,877.61
  5. Step 5: Solve for x
    x = 97,751,877.61/10,052.34
  6. Step 6: Final answer
    x = 9,724.29

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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.