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Finding the Fourth Proportional to 10,384.74, 14,330.87 and 5,669.02

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Solution

The fourth proportional to 10,384.74, 14,330.87 and 5,669.02 is: 7,823.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.74 : 14,330.87 = 5,669.02 : x
  2. Step 2: Convert to fraction form
    10,384.74/14,330.87 = 5,669.02/x
  3. Step 3: Cross multiply
    10,384.74x = 14,330.87 × 5,669.02
  4. Step 4: Simplify right side
    10,384.74x = 81,241,988.65
  5. Step 5: Solve for x
    x = 81,241,988.65/10,384.74
  6. Step 6: Final answer
    x = 7,823.21

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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.