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Finding the Fourth Proportional to 7,510.10, 10,363.88 and 4,153

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Solution

The fourth proportional to 7,510.10, 10,363.88 and 4,153 is: 5,731.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,510.10 : 10,363.88 = 4,153 : x
  2. Step 2: Convert to fraction form
    7,510.10/10,363.88 = 4,153/x
  3. Step 3: Cross multiply
    7,510.10x = 10,363.88 × 4,153
  4. Step 4: Simplify right side
    7,510.10x = 43,041,193.64
  5. Step 5: Solve for x
    x = 43,041,193.64/7,510.10
  6. Step 6: Final answer
    x = 5,731.11

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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.