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Finding the Fourth Proportional to 8,312.30, 11,465.09 and 4,952.52

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Solution

The fourth proportional to 8,312.30, 11,465.09 and 4,952.52 is: 6,830.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.30 : 11,465.09 = 4,952.52 : x
  2. Step 2: Convert to fraction form
    8,312.30/11,465.09 = 4,952.52/x
  3. Step 3: Cross multiply
    8,312.30x = 11,465.09 × 4,952.52
  4. Step 4: Simplify right side
    8,312.30x = 56,781,062.76
  5. Step 5: Solve for x
    x = 56,781,062.76/8,312.30
  6. Step 6: Final answer
    x = 6,830.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.