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Finding the Fourth Proportional to 10,985.25, 16,475.40 and 5,056.45

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Solution

The fourth proportional to 10,985.25, 16,475.40 and 5,056.45 is: 7,583.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,985.25 : 16,475.40 = 5,056.45 : x
  2. Step 2: Convert to fraction form
    10,985.25/16,475.40 = 5,056.45/x
  3. Step 3: Cross multiply
    10,985.25x = 16,475.40 × 5,056.45
  4. Step 4: Simplify right side
    10,985.25x = 83,307,036.33
  5. Step 5: Solve for x
    x = 83,307,036.33/10,985.25
  6. Step 6: Final answer
    x = 7,583.54

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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.