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Finding the Fourth Proportional to 10,032.36, 15,071.61 and 7,077.60

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Solution

The fourth proportional to 10,032.36, 15,071.61 and 7,077.60 is: 10,632.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,032.36 : 15,071.61 = 7,077.60 : x
  2. Step 2: Convert to fraction form
    10,032.36/15,071.61 = 7,077.60/x
  3. Step 3: Cross multiply
    10,032.36x = 15,071.61 × 7,077.60
  4. Step 4: Simplify right side
    10,032.36x = 106,670,826.94
  5. Step 5: Solve for x
    x = 106,670,826.94/10,032.36
  6. Step 6: Final answer
    x = 10,632.68

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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.