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Finding the Fourth Proportional to 10,425.84, 14,386.74 and 6,176.04

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Solution

The fourth proportional to 10,425.84, 14,386.74 and 6,176.04 is: 8,522.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425.84 : 14,386.74 = 6,176.04 : x
  2. Step 2: Convert to fraction form
    10,425.84/14,386.74 = 6,176.04/x
  3. Step 3: Cross multiply
    10,425.84x = 14,386.74 × 6,176.04
  4. Step 4: Simplify right side
    10,425.84x = 88,853,081.71
  5. Step 5: Solve for x
    x = 88,853,081.71/10,425.84
  6. Step 6: Final answer
    x = 8,522.39

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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.