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Finding the Fourth Proportional to 7,214.32, 9,953.40 and 4,857.76

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Solution

The fourth proportional to 7,214.32, 9,953.40 and 4,857.76 is: 6,702.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.32 : 9,953.40 = 4,857.76 : x
  2. Step 2: Convert to fraction form
    7,214.32/9,953.40 = 4,857.76/x
  3. Step 3: Cross multiply
    7,214.32x = 9,953.40 × 4,857.76
  4. Step 4: Simplify right side
    7,214.32x = 48,351,228.38
  5. Step 5: Solve for x
    x = 48,351,228.38/7,214.32
  6. Step 6: Final answer
    x = 6,702.12

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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.