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Finding the Fourth Proportional to 10,529.60, 15,779.32 and 7,734.32

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Solution

The fourth proportional to 10,529.60, 15,779.32 and 7,734.32 is: 11,590.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,529.60 : 15,779.32 = 7,734.32 : x
  2. Step 2: Convert to fraction form
    10,529.60/15,779.32 = 7,734.32/x
  3. Step 3: Cross multiply
    10,529.60x = 15,779.32 × 7,734.32
  4. Step 4: Simplify right side
    10,529.60x = 122,042,310.26
  5. Step 5: Solve for x
    x = 122,042,310.26/10,529.60
  6. Step 6: Final answer
    x = 11,590.40

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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.