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Finding the Fourth Proportional to 10,425.60, 15,643.32 and 5,235.12

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Solution

The fourth proportional to 10,425.60, 15,643.32 and 5,235.12 is: 7,855.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425.60 : 15,643.32 = 5,235.12 : x
  2. Step 2: Convert to fraction form
    10,425.60/15,643.32 = 5,235.12/x
  3. Step 3: Cross multiply
    10,425.60x = 15,643.32 × 5,235.12
  4. Step 4: Simplify right side
    10,425.60x = 81,894,657.40
  5. Step 5: Solve for x
    x = 81,894,657.40/10,425.60
  6. Step 6: Final answer
    x = 7,855.15

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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.