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Finding the Fourth Proportional to 10,133.71, 15,177.48 and 6,999.46

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Solution

The fourth proportional to 10,133.71, 15,177.48 and 6,999.46 is: 10,483.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,133.71 : 15,177.48 = 6,999.46 : x
  2. Step 2: Convert to fraction form
    10,133.71/15,177.48 = 6,999.46/x
  3. Step 3: Cross multiply
    10,133.71x = 15,177.48 × 6,999.46
  4. Step 4: Simplify right side
    10,133.71x = 106,234,185.34
  5. Step 5: Solve for x
    x = 106,234,185.34/10,133.71
  6. Step 6: Final answer
    x = 10,483.25

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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.