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Finding the Fourth Proportional to 10,566.08, 14,581.28 and 7,384

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Solution

The fourth proportional to 10,566.08, 14,581.28 and 7,384 is: 10,189.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,566.08 : 14,581.28 = 7,384 : x
  2. Step 2: Convert to fraction form
    10,566.08/14,581.28 = 7,384/x
  3. Step 3: Cross multiply
    10,566.08x = 14,581.28 × 7,384
  4. Step 4: Simplify right side
    10,566.08x = 107,668,171.52
  5. Step 5: Solve for x
    x = 107,668,171.52/10,566.08
  6. Step 6: Final answer
    x = 10,189.98

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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.