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Finding the Fourth Proportional to 10,357.65, 14,300.28 and 6,384.60

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Solution

The fourth proportional to 10,357.65, 14,300.28 and 6,384.60 is: 8,814.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.65 : 14,300.28 = 6,384.60 : x
  2. Step 2: Convert to fraction form
    10,357.65/14,300.28 = 6,384.60/x
  3. Step 3: Cross multiply
    10,357.65x = 14,300.28 × 6,384.60
  4. Step 4: Simplify right side
    10,357.65x = 91,301,567.69
  5. Step 5: Solve for x
    x = 91,301,567.69/10,357.65
  6. Step 6: Final answer
    x = 8,814.89

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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.