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Finding the Fourth Proportional to 10,458.06, 14,440.08 and 7,099.20

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Solution

The fourth proportional to 10,458.06, 14,440.08 and 7,099.20 is: 9,802.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458.06 : 14,440.08 = 7,099.20 : x
  2. Step 2: Convert to fraction form
    10,458.06/14,440.08 = 7,099.20/x
  3. Step 3: Cross multiply
    10,458.06x = 14,440.08 × 7,099.20
  4. Step 4: Simplify right side
    10,458.06x = 102,513,015.94
  5. Step 5: Solve for x
    x = 102,513,015.94/10,458.06
  6. Step 6: Final answer
    x = 9,802.30

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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.