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Finding the Fourth Proportional to 10,599.65, 14,619.36 and 7,766.00

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Solution

The fourth proportional to 10,599.65, 14,619.36 and 7,766.00 is: 10,711.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,599.65 : 14,619.36 = 7,766.00 : x
  2. Step 2: Convert to fraction form
    10,599.65/14,619.36 = 7,766.00/x
  3. Step 3: Cross multiply
    10,599.65x = 14,619.36 × 7,766.00
  4. Step 4: Simplify right side
    10,599.65x = 113,533,876.66
  5. Step 5: Solve for x
    x = 113,533,876.66/10,599.65
  6. Step 6: Final answer
    x = 10,711.10

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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.