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Finding the Fourth Proportional to 10,359.65, 14,296.23 and 5,643.93

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Solution

The fourth proportional to 10,359.65, 14,296.23 and 5,643.93 is: 7,788.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,359.65 : 14,296.23 = 5,643.93 : x
  2. Step 2: Convert to fraction form
    10,359.65/14,296.23 = 5,643.93/x
  3. Step 3: Cross multiply
    10,359.65x = 14,296.23 × 5,643.93
  4. Step 4: Simplify right side
    10,359.65x = 80,686,921.38
  5. Step 5: Solve for x
    x = 80,686,921.38/10,359.65
  6. Step 6: Final answer
    x = 7,788.58

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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.