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Finding the Fourth Proportional to 6,924.64, 10,386.54 and 2,307.64

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Solution

The fourth proportional to 6,924.64, 10,386.54 and 2,307.64 is: 3,461.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,924.64 : 10,386.54 = 2,307.64 : x
  2. Step 2: Convert to fraction form
    6,924.64/10,386.54 = 2,307.64/x
  3. Step 3: Cross multiply
    6,924.64x = 10,386.54 × 2,307.64
  4. Step 4: Simplify right side
    6,924.64x = 23,968,395.17
  5. Step 5: Solve for x
    x = 23,968,395.17/6,924.64
  6. Step 6: Final answer
    x = 3,461.32

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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.