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Finding the Fourth Proportional to 8,307.80, 12,461.70 and 5,802.20

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Solution

The fourth proportional to 8,307.80, 12,461.70 and 5,802.20 is: 8,703.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.80 : 12,461.70 = 5,802.20 : x
  2. Step 2: Convert to fraction form
    8,307.80/12,461.70 = 5,802.20/x
  3. Step 3: Cross multiply
    8,307.80x = 12,461.70 × 5,802.20
  4. Step 4: Simplify right side
    8,307.80x = 72,305,275.74
  5. Step 5: Solve for x
    x = 72,305,275.74/8,307.80
  6. Step 6: Final answer
    x = 8,703.30

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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.