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Finding the Fourth Proportional to 10,510.82, 14,504.95 and 5,730.81

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Solution

The fourth proportional to 10,510.82, 14,504.95 and 5,730.81 is: 7,908.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.82 : 14,504.95 = 5,730.81 : x
  2. Step 2: Convert to fraction form
    10,510.82/14,504.95 = 5,730.81/x
  3. Step 3: Cross multiply
    10,510.82x = 14,504.95 × 5,730.81
  4. Step 4: Simplify right side
    10,510.82x = 83,125,112.51
  5. Step 5: Solve for x
    x = 83,125,112.51/10,510.82
  6. Step 6: Final answer
    x = 7,908.53

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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.