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Finding the Fourth Proportional to 10,495.06, 15,744.15 and 6,543.10

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Solution

The fourth proportional to 10,495.06, 15,744.15 and 6,543.10 is: 9,815.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495.06 : 15,744.15 = 6,543.10 : x
  2. Step 2: Convert to fraction form
    10,495.06/15,744.15 = 6,543.10/x
  3. Step 3: Cross multiply
    10,495.06x = 15,744.15 × 6,543.10
  4. Step 4: Simplify right side
    10,495.06x = 103,015,547.87
  5. Step 5: Solve for x
    x = 103,015,547.87/10,495.06
  6. Step 6: Final answer
    x = 9,815.62

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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.