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Finding the Fourth Proportional to 7,109.41, 9,807.80 and 4,123.51

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Solution

The fourth proportional to 7,109.41, 9,807.80 and 4,123.51 is: 5,688.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.41 : 9,807.80 = 4,123.51 : x
  2. Step 2: Convert to fraction form
    7,109.41/9,807.80 = 4,123.51/x
  3. Step 3: Cross multiply
    7,109.41x = 9,807.80 × 4,123.51
  4. Step 4: Simplify right side
    7,109.41x = 40,442,561.38
  5. Step 5: Solve for x
    x = 40,442,561.38/7,109.41
  6. Step 6: Final answer
    x = 5,688.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.