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Finding the Fourth Proportional to 7,569.61, 10,440.25 and 6,719.75

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Solution

The fourth proportional to 7,569.61, 10,440.25 and 6,719.75 is: 9,268.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.61 : 10,440.25 = 6,719.75 : x
  2. Step 2: Convert to fraction form
    7,569.61/10,440.25 = 6,719.75/x
  3. Step 3: Cross multiply
    7,569.61x = 10,440.25 × 6,719.75
  4. Step 4: Simplify right side
    7,569.61x = 70,155,869.94
  5. Step 5: Solve for x
    x = 70,155,869.94/7,569.61
  6. Step 6: Final answer
    x = 9,268.10

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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.