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Finding the Fourth Proportional to 10,062.60, 13,899.93 and 7,733.85

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Solution

The fourth proportional to 10,062.60, 13,899.93 and 7,733.85 is: 10,683.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,062.60 : 13,899.93 = 7,733.85 : x
  2. Step 2: Convert to fraction form
    10,062.60/13,899.93 = 7,733.85/x
  3. Step 3: Cross multiply
    10,062.60x = 13,899.93 × 7,733.85
  4. Step 4: Simplify right side
    10,062.60x = 107,499,973.63
  5. Step 5: Solve for x
    x = 107,499,973.63/10,062.60
  6. Step 6: Final answer
    x = 10,683.12

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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.