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Finding the Fourth Proportional to 7,697.90, 11,547.63 and 2,769.46

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Solution

The fourth proportional to 7,697.90, 11,547.63 and 2,769.46 is: 4,154.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.90 : 11,547.63 = 2,769.46 : x
  2. Step 2: Convert to fraction form
    7,697.90/11,547.63 = 2,769.46/x
  3. Step 3: Cross multiply
    7,697.90x = 11,547.63 × 2,769.46
  4. Step 4: Simplify right side
    7,697.90x = 31,980,670.51
  5. Step 5: Solve for x
    x = 31,980,670.51/7,697.90
  6. Step 6: Final answer
    x = 4,154.47

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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.