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Finding the Fourth Proportional to 7,615, 10,510.14 and 4,303

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Solution

The fourth proportional to 7,615, 10,510.14 and 4,303 is: 5,938.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,615 : 10,510.14 = 4,303 : x
  2. Step 2: Convert to fraction form
    7,615/10,510.14 = 4,303/x
  3. Step 3: Cross multiply
    7,615x = 10,510.14 × 4,303
  4. Step 4: Simplify right side
    7,615x = 45,225,132.42
  5. Step 5: Solve for x
    x = 45,225,132.42/7,615
  6. Step 6: Final answer
    x = 5,938.95

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Why These Related Problems?

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