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Finding the Fourth Proportional to 10,352, 14,284.32 and 6,373.76

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Solution

The fourth proportional to 10,352, 14,284.32 and 6,373.76 is: 8,794.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352 : 14,284.32 = 6,373.76 : x
  2. Step 2: Convert to fraction form
    10,352/14,284.32 = 6,373.76/x
  3. Step 3: Cross multiply
    10,352x = 14,284.32 × 6,373.76
  4. Step 4: Simplify right side
    10,352x = 91,044,827.44
  5. Step 5: Solve for x
    x = 91,044,827.44/10,352
  6. Step 6: Final answer
    x = 8,794.90

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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.