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Finding the Fourth Proportional to 10,610.61, 14,642.76 and 5,894.88

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Solution

The fourth proportional to 10,610.61, 14,642.76 and 5,894.88 is: 8,135.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,610.61 : 14,642.76 = 5,894.88 : x
  2. Step 2: Convert to fraction form
    10,610.61/14,642.76 = 5,894.88/x
  3. Step 3: Cross multiply
    10,610.61x = 14,642.76 × 5,894.88
  4. Step 4: Simplify right side
    10,610.61x = 86,317,313.07
  5. Step 5: Solve for x
    x = 86,317,313.07/10,610.61
  6. Step 6: Final answer
    x = 8,135.00

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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.