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Finding the Fourth Proportional to 8,312.98, 11,461.53 and 5,323.90

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Solution

The fourth proportional to 8,312.98, 11,461.53 and 5,323.90 is: 7,340.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.98 : 11,461.53 = 5,323.90 : x
  2. Step 2: Convert to fraction form
    8,312.98/11,461.53 = 5,323.90/x
  3. Step 3: Cross multiply
    8,312.98x = 11,461.53 × 5,323.90
  4. Step 4: Simplify right side
    8,312.98x = 61,020,010.91
  5. Step 5: Solve for x
    x = 61,020,010.91/8,312.98
  6. Step 6: Final answer
    x = 7,340.33

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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.