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Finding the Fourth Proportional to 7,032.71, 10,550.93 and 2,102.39

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Solution

The fourth proportional to 7,032.71, 10,550.93 and 2,102.39 is: 3,154.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032.71 : 10,550.93 = 2,102.39 : x
  2. Step 2: Convert to fraction form
    7,032.71/10,550.93 = 2,102.39/x
  3. Step 3: Cross multiply
    7,032.71x = 10,550.93 × 2,102.39
  4. Step 4: Simplify right side
    7,032.71x = 22,182,106.46
  5. Step 5: Solve for x
    x = 22,182,106.46/7,032.71
  6. Step 6: Final answer
    x = 3,154.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.