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Finding the Fourth Proportional to 7,510.96, 10,364.70 and 4,153.57

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Solution

The fourth proportional to 7,510.96, 10,364.70 and 4,153.57 is: 5,731.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,510.96 : 10,364.70 = 4,153.57 : x
  2. Step 2: Convert to fraction form
    7,510.96/10,364.70 = 4,153.57/x
  3. Step 3: Cross multiply
    7,510.96x = 10,364.70 × 4,153.57
  4. Step 4: Simplify right side
    7,510.96x = 43,050,506.98
  5. Step 5: Solve for x
    x = 43,050,506.98/7,510.96
  6. Step 6: Final answer
    x = 5,731.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.