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Finding the Fourth Proportional to 10,187.82, 14,054.85 and 7,038.54

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Solution

The fourth proportional to 10,187.82, 14,054.85 and 7,038.54 is: 9,710.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,187.82 : 14,054.85 = 7,038.54 : x
  2. Step 2: Convert to fraction form
    10,187.82/14,054.85 = 7,038.54/x
  3. Step 3: Cross multiply
    10,187.82x = 14,054.85 × 7,038.54
  4. Step 4: Simplify right side
    10,187.82x = 98,925,623.92
  5. Step 5: Solve for x
    x = 98,925,623.92/10,187.82
  6. Step 6: Final answer
    x = 9,710.19

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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.