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Finding the Fourth Proportional to 10,784.88, 14,892.12 and 7,259.76

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Solution

The fourth proportional to 10,784.88, 14,892.12 and 7,259.76 is: 10,024.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,784.88 : 14,892.12 = 7,259.76 : x
  2. Step 2: Convert to fraction form
    10,784.88/14,892.12 = 7,259.76/x
  3. Step 3: Cross multiply
    10,784.88x = 14,892.12 × 7,259.76
  4. Step 4: Simplify right side
    10,784.88x = 108,113,217.09
  5. Step 5: Solve for x
    x = 108,113,217.09/10,784.88
  6. Step 6: Final answer
    x = 10,024.52

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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.