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Finding the Fourth Proportional to 7,664.60, 10,576.50 and 4,307.16

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Solution

The fourth proportional to 7,664.60, 10,576.50 and 4,307.16 is: 5,943.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.60 : 10,576.50 = 4,307.16 : x
  2. Step 2: Convert to fraction form
    7,664.60/10,576.50 = 4,307.16/x
  3. Step 3: Cross multiply
    7,664.60x = 10,576.50 × 4,307.16
  4. Step 4: Simplify right side
    7,664.60x = 45,554,677.74
  5. Step 5: Solve for x
    x = 45,554,677.74/7,664.60
  6. Step 6: Final answer
    x = 5,943.52

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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.