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Finding the Fourth Proportional to 10,711.71, 14,802.50 and 8,054.51

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Solution

The fourth proportional to 10,711.71, 14,802.50 and 8,054.51 is: 11,130.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.71 : 14,802.50 = 8,054.51 : x
  2. Step 2: Convert to fraction form
    10,711.71/14,802.50 = 8,054.51/x
  3. Step 3: Cross multiply
    10,711.71x = 14,802.50 × 8,054.51
  4. Step 4: Simplify right side
    10,711.71x = 119,226,769.99
  5. Step 5: Solve for x
    x = 119,226,769.99/10,711.71
  6. Step 6: Final answer
    x = 11,130.51

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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.