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Finding the Fourth Proportional to 7,719.40, 10,455.75 and 7,719.40

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Solution

The fourth proportional to 7,719.40, 10,455.75 and 7,719.40 is: 10,455.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,719.40 : 10,455.75 = 7,719.40 : x
  2. Step 2: Convert to fraction form
    7,719.40/10,455.75 = 7,719.40/x
  3. Step 3: Cross multiply
    7,719.40x = 10,455.75 × 7,719.40
  4. Step 4: Simplify right side
    7,719.40x = 80,712,116.55
  5. Step 5: Solve for x
    x = 80,712,116.55/7,719.40
  6. Step 6: Final answer
    x = 10,455.75

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.