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Finding the Fourth Proportional to 7,153, 10,730.16 and 2,472.34

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Solution

The fourth proportional to 7,153, 10,730.16 and 2,472.34 is: 3,708.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153 : 10,730.16 = 2,472.34 : x
  2. Step 2: Convert to fraction form
    7,153/10,730.16 = 2,472.34/x
  3. Step 3: Cross multiply
    7,153x = 10,730.16 × 2,472.34
  4. Step 4: Simplify right side
    7,153x = 26,528,603.77
  5. Step 5: Solve for x
    x = 26,528,603.77/7,153
  6. Step 6: Final answer
    x = 3,708.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.