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Finding the Fourth Proportional to 10,591.32, 14,595.06 and 7,597.56

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Solution

The fourth proportional to 10,591.32, 14,595.06 and 7,597.56 is: 10,469.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.32 : 14,595.06 = 7,597.56 : x
  2. Step 2: Convert to fraction form
    10,591.32/14,595.06 = 7,597.56/x
  3. Step 3: Cross multiply
    10,591.32x = 14,595.06 × 7,597.56
  4. Step 4: Simplify right side
    10,591.32x = 110,886,844.05
  5. Step 5: Solve for x
    x = 110,886,844.05/10,591.32
  6. Step 6: Final answer
    x = 10,469.60

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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.