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Finding the Fourth Proportional to 10,710.72, 14,784.88 and 7,172.64

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Solution

The fourth proportional to 10,710.72, 14,784.88 and 7,172.64 is: 9,900.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710.72 : 14,784.88 = 7,172.64 : x
  2. Step 2: Convert to fraction form
    10,710.72/14,784.88 = 7,172.64/x
  3. Step 3: Cross multiply
    10,710.72x = 14,784.88 × 7,172.64
  4. Step 4: Simplify right side
    10,710.72x = 106,046,621.68
  5. Step 5: Solve for x
    x = 106,046,621.68/10,710.72
  6. Step 6: Final answer
    x = 9,900.98

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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.