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Finding the Fourth Proportional to 10,785.30, 14,884.11 and 6,070.02

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Solution

The fourth proportional to 10,785.30, 14,884.11 and 6,070.02 is: 8,376.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,785.30 : 14,884.11 = 6,070.02 : x
  2. Step 2: Convert to fraction form
    10,785.30/14,884.11 = 6,070.02/x
  3. Step 3: Cross multiply
    10,785.30x = 14,884.11 × 6,070.02
  4. Step 4: Simplify right side
    10,785.30x = 90,346,845.38
  5. Step 5: Solve for x
    x = 90,346,845.38/10,785.30
  6. Step 6: Final answer
    x = 8,376.85

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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.