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Finding the Fourth Proportional to 10,610, 14,641.81 and 5,894.72

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Solution

The fourth proportional to 10,610, 14,641.81 and 5,894.72 is: 8,134.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,610 : 14,641.81 = 5,894.72 : x
  2. Step 2: Convert to fraction form
    10,610/14,641.81 = 5,894.72/x
  3. Step 3: Cross multiply
    10,610x = 14,641.81 × 5,894.72
  4. Step 4: Simplify right side
    10,610x = 86,309,370.24
  5. Step 5: Solve for x
    x = 86,309,370.24/10,610
  6. Step 6: Final answer
    x = 8,134.72

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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.