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Finding the Fourth Proportional to 7,810.52, 11,714.58 and 3,129.32

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Solution

The fourth proportional to 7,810.52, 11,714.58 and 3,129.32 is: 4,693.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.52 : 11,714.58 = 3,129.32 : x
  2. Step 2: Convert to fraction form
    7,810.52/11,714.58 = 3,129.32/x
  3. Step 3: Cross multiply
    7,810.52x = 11,714.58 × 3,129.32
  4. Step 4: Simplify right side
    7,810.52x = 36,658,698.77
  5. Step 5: Solve for x
    x = 36,658,698.77/7,810.52
  6. Step 6: Final answer
    x = 4,693.51

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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.