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Finding the Fourth Proportional to 4,700.14, 7,051.23 and 4,011.58

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Solution

The fourth proportional to 4,700.14, 7,051.23 and 4,011.58 is: 6,018.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.14 : 7,051.23 = 4,011.58 : x
  2. Step 2: Convert to fraction form
    4,700.14/7,051.23 = 4,011.58/x
  3. Step 3: Cross multiply
    4,700.14x = 7,051.23 × 4,011.58
  4. Step 4: Simplify right side
    4,700.14x = 28,286,573.24
  5. Step 5: Solve for x
    x = 28,286,573.24/4,700.14
  6. Step 6: Final answer
    x = 6,018.24

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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.