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Finding the Fourth Proportional to 10,293.65, 14,200.00 and 6,510.43

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Solution

The fourth proportional to 10,293.65, 14,200.00 and 6,510.43 is: 8,981.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,293.65 : 14,200.00 = 6,510.43 : x
  2. Step 2: Convert to fraction form
    10,293.65/14,200.00 = 6,510.43/x
  3. Step 3: Cross multiply
    10,293.65x = 14,200.00 × 6,510.43
  4. Step 4: Simplify right side
    10,293.65x = 92,448,054.22
  5. Step 5: Solve for x
    x = 92,448,054.22/10,293.65
  6. Step 6: Final answer
    x = 8,981.08

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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.