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Finding the Fourth Proportional to 10,374, 14,316.33 and 7,354.45

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Solution

The fourth proportional to 10,374, 14,316.33 and 7,354.45 is: 10,149.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374 : 14,316.33 = 7,354.45 : x
  2. Step 2: Convert to fraction form
    10,374/14,316.33 = 7,354.45/x
  3. Step 3: Cross multiply
    10,374x = 14,316.33 × 7,354.45
  4. Step 4: Simplify right side
    10,374x = 105,288,733.17
  5. Step 5: Solve for x
    x = 105,288,733.17/10,374
  6. Step 6: Final answer
    x = 10,149.29

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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.