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Finding the Fourth Proportional to 10,510.65, 14,510.61 and 6,978.69

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Solution

The fourth proportional to 10,510.65, 14,510.61 and 6,978.69 is: 9,634.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.65 : 14,510.61 = 6,978.69 : x
  2. Step 2: Convert to fraction form
    10,510.65/14,510.61 = 6,978.69/x
  3. Step 3: Cross multiply
    10,510.65x = 14,510.61 × 6,978.69
  4. Step 4: Simplify right side
    10,510.65x = 101,265,048.90
  5. Step 5: Solve for x
    x = 101,265,048.90/10,510.65
  6. Step 6: Final answer
    x = 9,634.52

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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.