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Finding the Fourth Proportional to 10,833.28, 14,957.76 and 7,118.08

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Solution

The fourth proportional to 10,833.28, 14,957.76 and 7,118.08 is: 9,828.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,833.28 : 14,957.76 = 7,118.08 : x
  2. Step 2: Convert to fraction form
    10,833.28/14,957.76 = 7,118.08/x
  3. Step 3: Cross multiply
    10,833.28x = 14,957.76 × 7,118.08
  4. Step 4: Simplify right side
    10,833.28x = 106,470,532.30
  5. Step 5: Solve for x
    x = 106,470,532.30/10,833.28
  6. Step 6: Final answer
    x = 9,828.10

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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.