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Finding the Fourth Proportional to 10,641.74, 14,688.99 and 7,283.30

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Solution

The fourth proportional to 10,641.74, 14,688.99 and 7,283.30 is: 10,053.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,641.74 : 14,688.99 = 7,283.30 : x
  2. Step 2: Convert to fraction form
    10,641.74/14,688.99 = 7,283.30/x
  3. Step 3: Cross multiply
    10,641.74x = 14,688.99 × 7,283.30
  4. Step 4: Simplify right side
    10,641.74x = 106,984,320.87
  5. Step 5: Solve for x
    x = 106,984,320.87/10,641.74
  6. Step 6: Final answer
    x = 10,053.27

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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.