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Finding the Fourth Proportional to 7,140.84, 10,714.90 and 4,675.20

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Solution

The fourth proportional to 7,140.84, 10,714.90 and 4,675.20 is: 7,015.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.84 : 10,714.90 = 4,675.20 : x
  2. Step 2: Convert to fraction form
    7,140.84/10,714.90 = 4,675.20/x
  3. Step 3: Cross multiply
    7,140.84x = 10,714.90 × 4,675.20
  4. Step 4: Simplify right side
    7,140.84x = 50,094,300.48
  5. Step 5: Solve for x
    x = 50,094,300.48/7,140.84
  6. Step 6: Final answer
    x = 7,015.18

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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.