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Finding the Fourth Proportional to 7,122.60, 9,830.15 and 5,351.13

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Solution

The fourth proportional to 7,122.60, 9,830.15 and 5,351.13 is: 7,385.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.60 : 9,830.15 = 5,351.13 : x
  2. Step 2: Convert to fraction form
    7,122.60/9,830.15 = 5,351.13/x
  3. Step 3: Cross multiply
    7,122.60x = 9,830.15 × 5,351.13
  4. Step 4: Simplify right side
    7,122.60x = 52,602,383.81
  5. Step 5: Solve for x
    x = 52,602,383.81/7,122.60
  6. Step 6: Final answer
    x = 7,385.28

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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.