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Finding the Fourth Proportional to 7,145.51, 10,714.04 and 2,927.50

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Solution

The fourth proportional to 7,145.51, 10,714.04 and 2,927.50 is: 4,389.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.51 : 10,714.04 = 2,927.50 : x
  2. Step 2: Convert to fraction form
    7,145.51/10,714.04 = 2,927.50/x
  3. Step 3: Cross multiply
    7,145.51x = 10,714.04 × 2,927.50
  4. Step 4: Simplify right side
    7,145.51x = 31,365,389.27
  5. Step 5: Solve for x
    x = 31,365,389.27/7,145.51
  6. Step 6: Final answer
    x = 4,389.52

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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.