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Finding the Fourth Proportional to 7,102.10, 10,643.42 and 4,506.86

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Solution

The fourth proportional to 7,102.10, 10,643.42 and 4,506.86 is: 6,754.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.10 : 10,643.42 = 4,506.86 : x
  2. Step 2: Convert to fraction form
    7,102.10/10,643.42 = 4,506.86/x
  3. Step 3: Cross multiply
    7,102.10x = 10,643.42 × 4,506.86
  4. Step 4: Simplify right side
    7,102.10x = 47,968,403.86
  5. Step 5: Solve for x
    x = 47,968,403.86/7,102.10
  6. Step 6: Final answer
    x = 6,754.12

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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.