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Finding the Fourth Proportional to 10,505.34, 15,741.59 and 6,601.55

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Solution

The fourth proportional to 10,505.34, 15,741.59 and 6,601.55 is: 9,892.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.34 : 15,741.59 = 6,601.55 : x
  2. Step 2: Convert to fraction form
    10,505.34/15,741.59 = 6,601.55/x
  3. Step 3: Cross multiply
    10,505.34x = 15,741.59 × 6,601.55
  4. Step 4: Simplify right side
    10,505.34x = 103,918,814.76
  5. Step 5: Solve for x
    x = 103,918,814.76/10,505.34
  6. Step 6: Final answer
    x = 9,892.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.