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Finding the Fourth Proportional to 10,525.60, 15,773.32 and 7,730.32

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Solution

The fourth proportional to 10,525.60, 15,773.32 and 7,730.32 is: 11,584.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.60 : 15,773.32 = 7,730.32 : x
  2. Step 2: Convert to fraction form
    10,525.60/15,773.32 = 7,730.32/x
  3. Step 3: Cross multiply
    10,525.60x = 15,773.32 × 7,730.32
  4. Step 4: Simplify right side
    10,525.60x = 121,932,811.06
  5. Step 5: Solve for x
    x = 121,932,811.06/10,525.60
  6. Step 6: Final answer
    x = 11,584.40

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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.