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Finding the Fourth Proportional to 7,102.12, 10,657.50 and 4,510.12

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Solution

The fourth proportional to 7,102.12, 10,657.50 and 4,510.12 is: 6,767.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.12 : 10,657.50 = 4,510.12 : x
  2. Step 2: Convert to fraction form
    7,102.12/10,657.50 = 4,510.12/x
  3. Step 3: Cross multiply
    7,102.12x = 10,657.50 × 4,510.12
  4. Step 4: Simplify right side
    7,102.12x = 48,066,603.90
  5. Step 5: Solve for x
    x = 48,066,603.90/7,102.12
  6. Step 6: Final answer
    x = 6,767.92

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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.