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Finding the Fourth Proportional to 10,448.64, 15,655.68 and 6,543.36

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Solution

The fourth proportional to 10,448.64, 15,655.68 and 6,543.36 is: 9,804.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448.64 : 15,655.68 = 6,543.36 : x
  2. Step 2: Convert to fraction form
    10,448.64/15,655.68 = 6,543.36/x
  3. Step 3: Cross multiply
    10,448.64x = 15,655.68 × 6,543.36
  4. Step 4: Simplify right side
    10,448.64x = 102,440,750.28
  5. Step 5: Solve for x
    x = 102,440,750.28/10,448.64
  6. Step 6: Final answer
    x = 9,804.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.