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Finding the Fourth Proportional to 10,071.78, 13,900.72 and 8,390.52

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Solution

The fourth proportional to 10,071.78, 13,900.72 and 8,390.52 is: 11,580.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.78 : 13,900.72 = 8,390.52 : x
  2. Step 2: Convert to fraction form
    10,071.78/13,900.72 = 8,390.52/x
  3. Step 3: Cross multiply
    10,071.78x = 13,900.72 × 8,390.52
  4. Step 4: Simplify right side
    10,071.78x = 116,634,269.17
  5. Step 5: Solve for x
    x = 116,634,269.17/10,071.78
  6. Step 6: Final answer
    x = 11,580.30

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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.