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Finding the Fourth Proportional to 10,677.84, 14,731.52 and 6,697.50

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Solution

The fourth proportional to 10,677.84, 14,731.52 and 6,697.50 is: 9,240.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677.84 : 14,731.52 = 6,697.50 : x
  2. Step 2: Convert to fraction form
    10,677.84/14,731.52 = 6,697.50/x
  3. Step 3: Cross multiply
    10,677.84x = 14,731.52 × 6,697.50
  4. Step 4: Simplify right side
    10,677.84x = 98,664,321.71
  5. Step 5: Solve for x
    x = 98,664,321.71/10,677.84
  6. Step 6: Final answer
    x = 9,240.10

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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.