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Finding the Fourth Proportional to 8,307.13, 12,444.70 and 6,542.80

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Solution

The fourth proportional to 8,307.13, 12,444.70 and 6,542.80 is: 9,801.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.13 : 12,444.70 = 6,542.80 : x
  2. Step 2: Convert to fraction form
    8,307.13/12,444.70 = 6,542.80/x
  3. Step 3: Cross multiply
    8,307.13x = 12,444.70 × 6,542.80
  4. Step 4: Simplify right side
    8,307.13x = 81,423,088.22
  5. Step 5: Solve for x
    x = 81,423,088.22/8,307.13
  6. Step 6: Final answer
    x = 9,801.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.