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Finding the Fourth Proportional to 7,013.47, 10,534.22 and 4,385.65

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Solution

The fourth proportional to 7,013.47, 10,534.22 and 4,385.65 is: 6,587.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.47 : 10,534.22 = 4,385.65 : x
  2. Step 2: Convert to fraction form
    7,013.47/10,534.22 = 4,385.65/x
  3. Step 3: Cross multiply
    7,013.47x = 10,534.22 × 4,385.65
  4. Step 4: Simplify right side
    7,013.47x = 46,199,380.01
  5. Step 5: Solve for x
    x = 46,199,380.01/7,013.47
  6. Step 6: Final answer
    x = 6,587.24

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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.