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Finding the Fourth Proportional to 11,210.81, 15,470.93 and 6,497.83

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Solution

The fourth proportional to 11,210.81, 15,470.93 and 6,497.83 is: 8,967.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,210.81 : 15,470.93 = 6,497.83 : x
  2. Step 2: Convert to fraction form
    11,210.81/15,470.93 = 6,497.83/x
  3. Step 3: Cross multiply
    11,210.81x = 15,470.93 × 6,497.83
  4. Step 4: Simplify right side
    11,210.81x = 100,527,401.92
  5. Step 5: Solve for x
    x = 100,527,401.92/11,210.81
  6. Step 6: Final answer
    x = 8,967.00

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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.