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Finding the Fourth Proportional to 7,695.14, 10,663.90 and 7,547.49

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Solution

The fourth proportional to 7,695.14, 10,663.90 and 7,547.49 is: 10,459.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,695.14 : 10,663.90 = 7,547.49 : x
  2. Step 2: Convert to fraction form
    7,695.14/10,663.90 = 7,547.49/x
  3. Step 3: Cross multiply
    7,695.14x = 10,663.90 × 7,547.49
  4. Step 4: Simplify right side
    7,695.14x = 80,485,659.74
  5. Step 5: Solve for x
    x = 80,485,659.74/7,695.14
  6. Step 6: Final answer
    x = 10,459.29

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.