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Finding the Fourth Proportional to 8,054.16, 11,125.44 and 6,307.68

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Solution

The fourth proportional to 8,054.16, 11,125.44 and 6,307.68 is: 8,712.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,054.16 : 11,125.44 = 6,307.68 : x
  2. Step 2: Convert to fraction form
    8,054.16/11,125.44 = 6,307.68/x
  3. Step 3: Cross multiply
    8,054.16x = 11,125.44 × 6,307.68
  4. Step 4: Simplify right side
    8,054.16x = 70,175,715.38
  5. Step 5: Solve for x
    x = 70,175,715.38/8,054.16
  6. Step 6: Final answer
    x = 8,712.98

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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.