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Finding the Fourth Proportional to 10,562.30, 14,587.93 and 7,199.33

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Solution

The fourth proportional to 10,562.30, 14,587.93 and 7,199.33 is: 9,943.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562.30 : 14,587.93 = 7,199.33 : x
  2. Step 2: Convert to fraction form
    10,562.30/14,587.93 = 7,199.33/x
  3. Step 3: Cross multiply
    10,562.30x = 14,587.93 × 7,199.33
  4. Step 4: Simplify right side
    10,562.30x = 105,023,249.15
  5. Step 5: Solve for x
    x = 105,023,249.15/10,562.30
  6. Step 6: Final answer
    x = 9,943.22

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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.