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Finding the Fourth Proportional to 10,482.52, 14,465.72 and 5,702.52

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Solution

The fourth proportional to 10,482.52, 14,465.72 and 5,702.52 is: 7,869.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.52 : 14,465.72 = 5,702.52 : x
  2. Step 2: Convert to fraction form
    10,482.52/14,465.72 = 5,702.52/x
  3. Step 3: Cross multiply
    10,482.52x = 14,465.72 × 5,702.52
  4. Step 4: Simplify right side
    10,482.52x = 82,491,057.61
  5. Step 5: Solve for x
    x = 82,491,057.61/10,482.52
  6. Step 6: Final answer
    x = 7,869.39

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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.