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Finding the Fourth Proportional to 10,394.16, 15,534.27 and 7,588.90

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Solution

The fourth proportional to 10,394.16, 15,534.27 and 7,588.90 is: 11,341.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.16 : 15,534.27 = 7,588.90 : x
  2. Step 2: Convert to fraction form
    10,394.16/15,534.27 = 7,588.90/x
  3. Step 3: Cross multiply
    10,394.16x = 15,534.27 × 7,588.90
  4. Step 4: Simplify right side
    10,394.16x = 117,888,027.05
  5. Step 5: Solve for x
    x = 117,888,027.05/10,394.16
  6. Step 6: Final answer
    x = 11,341.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.