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Finding the Fourth Proportional to 10,588.23, 15,887.57 and 7,488.16

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Solution

The fourth proportional to 10,588.23, 15,887.57 and 7,488.16 is: 11,235.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.23 : 15,887.57 = 7,488.16 : x
  2. Step 2: Convert to fraction form
    10,588.23/15,887.57 = 7,488.16/x
  3. Step 3: Cross multiply
    10,588.23x = 15,887.57 × 7,488.16
  4. Step 4: Simplify right side
    10,588.23x = 118,968,589.01
  5. Step 5: Solve for x
    x = 118,968,589.01/10,588.23
  6. Step 6: Final answer
    x = 11,235.93

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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.