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Finding the Fourth Proportional to 10,034.54, 13,852.68 and 6,500.60

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Solution

The fourth proportional to 10,034.54, 13,852.68 and 6,500.60 is: 8,974.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.54 : 13,852.68 = 6,500.60 : x
  2. Step 2: Convert to fraction form
    10,034.54/13,852.68 = 6,500.60/x
  3. Step 3: Cross multiply
    10,034.54x = 13,852.68 × 6,500.60
  4. Step 4: Simplify right side
    10,034.54x = 90,050,731.61
  5. Step 5: Solve for x
    x = 90,050,731.61/10,034.54
  6. Step 6: Final answer
    x = 8,974.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.