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Finding the Fourth Proportional to 7,259.82, 10,038.66 and 5,765.10

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Solution

The fourth proportional to 7,259.82, 10,038.66 and 5,765.10 is: 7,971.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,259.82 : 10,038.66 = 5,765.10 : x
  2. Step 2: Convert to fraction form
    7,259.82/10,038.66 = 5,765.10/x
  3. Step 3: Cross multiply
    7,259.82x = 10,038.66 × 5,765.10
  4. Step 4: Simplify right side
    7,259.82x = 57,873,878.77
  5. Step 5: Solve for x
    x = 57,873,878.77/7,259.82
  6. Step 6: Final answer
    x = 7,971.81

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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.