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Finding the Fourth Proportional to 10,437.96, 15,662.34 and 4,599.48

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Solution

The fourth proportional to 10,437.96, 15,662.34 and 4,599.48 is: 6,901.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437.96 : 15,662.34 = 4,599.48 : x
  2. Step 2: Convert to fraction form
    10,437.96/15,662.34 = 4,599.48/x
  3. Step 3: Cross multiply
    10,437.96x = 15,662.34 × 4,599.48
  4. Step 4: Simplify right side
    10,437.96x = 72,038,619.58
  5. Step 5: Solve for x
    x = 72,038,619.58/10,437.96
  6. Step 6: Final answer
    x = 6,901.60

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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.