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Finding the Fourth Proportional to 10,454.40, 15,670.80 and 7,522.56

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Solution

The fourth proportional to 10,454.40, 15,670.80 and 7,522.56 is: 11,276.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.40 : 15,670.80 = 7,522.56 : x
  2. Step 2: Convert to fraction form
    10,454.40/15,670.80 = 7,522.56/x
  3. Step 3: Cross multiply
    10,454.40x = 15,670.80 × 7,522.56
  4. Step 4: Simplify right side
    10,454.40x = 117,884,533.25
  5. Step 5: Solve for x
    x = 117,884,533.25/10,454.40
  6. Step 6: Final answer
    x = 11,276.07

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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.