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Finding the Fourth Proportional to 10,525.26, 15,772.86 and 7,730.01

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Solution

The fourth proportional to 10,525.26, 15,772.86 and 7,730.01 is: 11,583.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.26 : 15,772.86 = 7,730.01 : x
  2. Step 2: Convert to fraction form
    10,525.26/15,772.86 = 7,730.01/x
  3. Step 3: Cross multiply
    10,525.26x = 15,772.86 × 7,730.01
  4. Step 4: Simplify right side
    10,525.26x = 121,924,365.53
  5. Step 5: Solve for x
    x = 121,924,365.53/10,525.26
  6. Step 6: Final answer
    x = 11,583.98

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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.