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Finding the Fourth Proportional to 10,785.51, 14,883.75 and 6,071.31

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Solution

The fourth proportional to 10,785.51, 14,883.75 and 6,071.31 is: 8,378.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,785.51 : 14,883.75 = 6,071.31 : x
  2. Step 2: Convert to fraction form
    10,785.51/14,883.75 = 6,071.31/x
  3. Step 3: Cross multiply
    10,785.51x = 14,883.75 × 6,071.31
  4. Step 4: Simplify right side
    10,785.51x = 90,363,860.21
  5. Step 5: Solve for x
    x = 90,363,860.21/10,785.51
  6. Step 6: Final answer
    x = 8,378.26

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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.