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Finding the Fourth Proportional to 7,066.51, 10,586.10 and 6,342.07

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Solution

The fourth proportional to 7,066.51, 10,586.10 and 6,342.07 is: 9,500.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,066.51 : 10,586.10 = 6,342.07 : x
  2. Step 2: Convert to fraction form
    7,066.51/10,586.10 = 6,342.07/x
  3. Step 3: Cross multiply
    7,066.51x = 10,586.10 × 6,342.07
  4. Step 4: Simplify right side
    7,066.51x = 67,137,702.59
  5. Step 5: Solve for x
    x = 67,137,702.59/7,066.51
  6. Step 6: Final answer
    x = 9,500.83

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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.