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Finding the Fourth Proportional to 7,153.40, 9,871.65 and 4,504.29

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Solution

The fourth proportional to 7,153.40, 9,871.65 and 4,504.29 is: 6,215.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.40 : 9,871.65 = 4,504.29 : x
  2. Step 2: Convert to fraction form
    7,153.40/9,871.65 = 4,504.29/x
  3. Step 3: Cross multiply
    7,153.40x = 9,871.65 × 4,504.29
  4. Step 4: Simplify right side
    7,153.40x = 44,464,774.38
  5. Step 5: Solve for x
    x = 44,464,774.38/7,153.40
  6. Step 6: Final answer
    x = 6,215.90

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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.